364164160 has 56 divisors (see below), whose sum is σ = 877677696. Its totient is φ = 143900160.

The previous prime is 364164139. The next prime is 364164181. The reversal of 364164160 is 61461463.

It is an interprime number because it is at equal distance from previous prime (364164139) and next prime (364164181).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19705 + ... + 33415.

It is an arithmetic number, because the mean of its divisors is an integer number (15672816).

Almost surely, 2^364164160 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 364164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438838848).

364164160 is an abundant number, since it is smaller than the sum of its proper divisors (513513536).

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

364164160 is a wasteful number, since it uses less digits than its factorization.

364164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13811 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 364164160 is about 19083.0857043613. The cubic root of 364164160 is about 714.1110180010. Note that the first 3 decimals are identical.

The spelling of 364164160 in words is "three hundred sixty-four million, one hundred sixty-four thousand, one hundred sixty".