971231760 has 120 divisors (see below), whose sum is σ = 3453629400. Its totient is φ = 243757056.

The previous prime is 971231711. The next prime is 971231783. The reversal of 971231760 is 67132179.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 946669824 = 4956^2 + 30768^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×971231760² = 1886582263265395200, 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 23 ways as a sum of consecutive naturals, for example, 27435 + ... + 51914.

It is an arithmetic number, because the mean of its divisors is an integer number (28780245).

Almost surely, 2^971231760 is an apocalyptic number.

971231760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

971231760 is an abundant number, since it is smaller than the sum of its proper divisors (2482397640).

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

971231760 is a wasteful number, since it uses less digits than its factorization.

971231760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79385 (or 79376 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 971231760 is about 31164.5914460626. The cubic root of 971231760 is about 990.3171313364.

The spelling of 971231760 in words is "nine hundred seventy-one million, two hundred thirty-one thousand, seven hundred sixty".