972092160 has 216 divisors, whose sum is σ = 3622613904. Its totient is φ = 239247360.

The previous prime is 972092159. The next prime is 972092183. The reversal of 972092160 is 61290279.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146515 + ... + 153005.

Almost surely, 2^972092160 is an apocalyptic number.

972092160 is a gapful number since it is divisible by the number (90) 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 972092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811306952).

972092160 is an abundant number, since it is smaller than the sum of its proper divisors (2650521744).

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

972092160 is a wasteful number, since it uses less digits than its factorization.

972092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 972092160 is about 31178.3925178961. The cubic root of 972092160 is about 990.6094808410.

The spelling of 972092160 in words is "nine hundred seventy-two million, ninety-two thousand, one hundred sixty".