970762968 has 160 divisors (see below), whose sum is σ = 3290522400. Its totient is φ = 261024768.

The previous prime is 970762943. The next prime is 970762973. The reversal of 970762968 is 869267079.

970762968 is a `hidden beast` number, since 9 + 7 + 0 + 7 + 629 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70818 + ... + 83406.

It is an arithmetic number, because the mean of its divisors is an integer number (20565765).

Almost surely, 2^970762968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970762968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645261200).

970762968 is an abundant number, since it is smaller than the sum of its proper divisors (2319759432).

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

970762968 is a wasteful number, since it uses less digits than its factorization.

970762968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12618 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 970762968 is about 31157.0693101903. The cubic root of 970762968 is about 990.1577709988.

The spelling of 970762968 in words is "nine hundred seventy million, seven hundred sixty-two thousand, nine hundred sixty-eight".