971245920 has 96 divisors (see below), whose sum is σ = 3102624000. Its totient is φ = 255342080.

The previous prime is 971245907. The next prime is 971245937. The reversal of 971245920 is 29542179.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19831 + ... + 48329.

It is an arithmetic number, because the mean of its divisors is an integer number (32319000).

Almost surely, 2^971245920 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 971245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312000).

971245920 is an abundant number, since it is smaller than the sum of its proper divisors (2131378080).

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

971245920 is a wasteful number, since it uses less digits than its factorization.

971245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28588 (or 28580 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 971245920 is about 31164.8186261367. The cubic root of 971245920 is about 990.3219440643.

The spelling of 971245920 in words is "nine hundred seventy-one million, two hundred forty-five thousand, nine hundred twenty".