356672160 has 480 divisors, whose sum is σ = 1421537040. Its totient is φ = 83607552.

The previous prime is 356672159. The next prime is 356672167. The reversal of 356672160 is 61276653.

It can be written as a sum of positive squares in 8 ways, for example, as 102333456 + 254338704 = 10116^2 + 15948^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (356672167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4885884 + ... + 4885956.

Almost surely, 2^356672160 is an apocalyptic number.

356672160 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 356672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710768520).

356672160 is an abundant number, since it is smaller than the sum of its proper divisors (1064864880).

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

356672160 is a wasteful number, since it uses less digits than its factorization.

356672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

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

The square root of 356672160 is about 18885.7660686560. The cubic root of 356672160 is about 709.1798769488.

The spelling of 356672160 in words is "three hundred fifty-six million, six hundred seventy-two thousand, one hundred sixty".