970086600 has 144 divisors (see below), whose sum is σ = 3723333120. Its totient is φ = 221731200.

The previous prime is 970086587. The next prime is 970086619. The reversal of 970086600 is 6680079.

It is a super-2 number, since 2×970086600² = 1882136022999120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25896 + ... + 51095.

It is an arithmetic number, because the mean of its divisors is an integer number (25856480).

Almost surely, 2^970086600 is an apocalyptic number.

970086600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

970086600 is an abundant number, since it is smaller than the sum of its proper divisors (2753246520).

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

970086600 is a wasteful number, since it uses less digits than its factorization.

970086600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77020 (or 77008 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 970086600 is about 31146.2132529783. The cubic root of 970086600 is about 989.9277572016.

The spelling of 970086600 in words is "nine hundred seventy million, eighty-six thousand, six hundred".