360565920 has 576 divisors, whose sum is σ = 1545433344. Its totient is φ = 75202560.

The previous prime is 360565901. The next prime is 360565921. The reversal of 360565920 is 29565063.

360565920 is a `hidden beast` number, since 3 + 6 + 0 + 565 + 92 + 0 = 666.

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 (360565921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500589 + ... + 3500691.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2^360565920 is an apocalyptic number.

360565920 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 360565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772716672).

360565920 is an abundant number, since it is smaller than the sum of its proper divisors (1184867424).

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

360565920 is a wasteful number, since it uses less digits than its factorization.

360565920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 360565920 is about 18988.5734061303. The cubic root of 360565920 is about 711.7512281592.

The spelling of 360565920 in words is "three hundred sixty million, five hundred sixty-five thousand, nine hundred twenty".