364693920 has 96 divisors (see below), whose sum is σ = 1185891840. Its totient is φ = 94110720.

The previous prime is 364693909. The next prime is 364693921. The reversal of 364693920 is 29396463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (364693921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626 + ... + 27134.

It is an arithmetic number, because the mean of its divisors is an integer number (12353040).

Almost surely, 2^364693920 is an apocalyptic number.

364693920 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 364693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592945920).

364693920 is an abundant number, since it is smaller than the sum of its proper divisors (821197920).

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

364693920 is a wasteful number, since it uses less digits than its factorization.

364693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24558 (or 24550 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 364693920 is about 19096.9610147793. The cubic root of 364693920 is about 714.4571294508.

The spelling of 364693920 in words is "three hundred sixty-four million, six hundred ninety-three thousand, nine hundred twenty".