364848 has 40 divisors (see below), whose sum is σ = 1029696. Its totient is φ = 110400.

The previous prime is 364829. The next prime is 364853. The reversal of 364848 is 848463.

364848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×364848² = 266228126208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364848.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 183 + ... + 873.

2³⁶⁴⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514848).

364848 is an abundant number, since it is smaller than the sum of its proper divisors (664848).

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

364848 is a wasteful number, since it uses less digits than its factorization.

364848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 707 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 364848 is about 604.0264894854. The cubic root of 364848 is about 71.4557732586.

It can be divided in two parts, 36 and 4848, that added together give a palindrome (4884).

The spelling of 364848 in words is "three hundred sixty-four thousand, eight hundred forty-eight".