364896 has 72 divisors (see below), whose sum is σ = 1192464. Its totient is φ = 103680.

The previous prime is 364891. The next prime is 364909. The reversal of 364896 is 698463.

364896 is a `hidden beast` number, since 3 + 648 + 9 + 6 = 666.

364896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 364896.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364896.

It is not an unprimeable number, because it can be changed into a prime (364891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1926 + ... + 2106.

It is an arithmetic number, because the mean of its divisors is an integer number (16562).

2³⁶⁴⁸⁹⁶ is an apocalyptic number.

364896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596232).

364896 is an abundant number, since it is smaller than the sum of its proper divisors (827568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364896 is a wasteful number, since it uses less digits than its factorization.

364896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 364896 is about 604.0662215354. The cubic root of 364896 is about 71.4589067340.

The spelling of 364896 in words is "three hundred sixty-four thousand, eight hundred ninety-six".