360172656 has 180 divisors, whose sum is σ = 1083612192. Its totient is φ = 115893504.

The previous prime is 360172651. The next prime is 360172669. The reversal of 360172656 is 656271063.

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

It is a self number, because there is not a number n which added to its sum of digits gives 360172656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360172651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4933836 + ... + 4933908.

Almost surely, 2^360172656 is an apocalyptic number.

360172656 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 360172656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541806096).

360172656 is an abundant number, since it is smaller than the sum of its proper divisors (723439536).

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

360172656 is an frugal number, since it uses more digits than its factorization.

360172656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 360172656 is about 18978.2153007073. The cubic root of 360172656 is about 711.4923684572.

The spelling of 360172656 in words is "three hundred sixty million, one hundred seventy-two thousand, six hundred fifty-six".