364680 has 48 divisors (see below), whose sum is σ = 1186380. Its totient is φ = 97152.

The previous prime is 364669. The next prime is 364687. The reversal of 364680 is 86463.

It can be written as a sum of positive squares in 2 ways, for example, as 298116 + 66564 = 546^2 + 258^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364680.

It is not an unprimeable number, because it can be changed into a prime (364687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 866.

2³⁶⁴⁶⁸⁰ is an apocalyptic number.

364680 is a gapful number since it is divisible by the number (30) 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 364680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593190).

364680 is an abundant number, since it is smaller than the sum of its proper divisors (821700).

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

364680 is a wasteful number, since it uses less digits than its factorization.

364680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 364680 is about 603.8874067241. The cubic root of 364680 is about 71.4448039299. Note that the first 3 decimals are identical.

The spelling of 364680 in words is "three hundred sixty-four thousand, six hundred eighty".