970189920 has 192 divisors, whose sum is σ = 3880880640. Its totient is φ = 221750784.

The previous prime is 970189901. The next prime is 970189943. The reversal of 970189920 is 29981079.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14199 + ... + 46281.

It is an arithmetic number, because the mean of its divisors is an integer number (20212920).

Almost surely, 2^970189920 is an apocalyptic number.

970189920 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 970189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940440320).

970189920 is an abundant number, since it is smaller than the sum of its proper divisors (2910690720).

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

970189920 is a wasteful number, since it uses less digits than its factorization.

970189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32114 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 970189920 is about 31147.8718374145. The cubic root of 970189920 is about 989.9629003545.

The spelling of 970189920 in words is "nine hundred seventy million, one hundred eighty-nine thousand, nine hundred twenty".