970795904 has 64 divisors (see below), whose sum is σ = 2127263040. Its totient is φ = 438491136.

The previous prime is 970795843. The next prime is 970795919. The reversal of 970795904 is 409597079.

970795904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72002 + ... + 84414.

It is an arithmetic number, because the mean of its divisors is an integer number (33238485).

Almost surely, 2^970795904 is an apocalyptic number.

970795904 is a gapful number since it is divisible by the number (94) 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 970795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063631520).

970795904 is an abundant number, since it is smaller than the sum of its proper divisors (1156467136).

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

970795904 is a wasteful number, since it uses less digits than its factorization.

970795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 50.

The square root of 970795904 is about 31157.5978534931. The cubic root of 970795904 is about 990.1689688808.

The spelling of 970795904 in words is "nine hundred seventy million, seven hundred ninety-five thousand, nine hundred four".