364965120 has 216 divisors, whose sum is σ = 1360433256. Its totient is φ = 89800704.

The previous prime is 364965109. The next prime is 364965121. The reversal of 364965120 is 21569463.

It is a happy number.

364965120 is a `hidden beast` number, since 3 + 649 + 6 + 5 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54641664 + 310323456 = 7392^2 + 17616^2 .

It is a super-2 number, since 2×364965120² = 266399077633228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364965121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148542 + ... + 150978.

Almost surely, 2^364965120 is an apocalyptic number.

364965120 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 364965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680216628).

364965120 is an abundant number, since it is smaller than the sum of its proper divisors (995468136).

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

364965120 is a wasteful number, since it uses less digits than its factorization.

364965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 364965120 is about 19104.0603014124. The cubic root of 364965120 is about 714.6341845587.

It can be divided in two parts, 364965 and 120, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 364965120 in words is "three hundred sixty-four million, nine hundred sixty-five thousand, one hundred twenty".