364640616 has 160 divisors (see below), whose sum is σ = 1097712000. Its totient is φ = 112679424.

The previous prime is 364640611. The next prime is 364640623. The reversal of 364640616 is 616046463.

364640616 is a `hidden beast` number, since 3 + 6 + 4 + 640 + 6 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (364640611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 870055 + ... + 870473.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^364640616 is an apocalyptic number.

364640616 is a gapful number since it is divisible by the number (36) 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 364640616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548856000).

364640616 is an abundant number, since it is smaller than the sum of its proper divisors (733071384).

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

364640616 is a wasteful number, since it uses less digits than its factorization.

364640616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 364640616 is about 19095.5653490542. The cubic root of 364640616 is about 714.4223191836.

The spelling of 364640616 in words is "three hundred sixty-four million, six hundred forty thousand, six hundred sixteen".