971038240 has 48 divisors (see below), whose sum is σ = 2316830040. Its totient is φ = 384563200.

The previous prime is 971038231. The next prime is 971038253. The reversal of 971038240 is 42830179.

It can be written as a sum of positive squares in 4 ways, for example, as 936604816 + 34433424 = 30604^2 + 5868^2 .

It is a super-3 number, since 3×971038240³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 971038196 and 971038205.

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, 13885 + ... + 46204.

Almost surely, 2^971038240 is an apocalyptic number.

It is an amenable number.

971038240 is an abundant number, since it is smaller than the sum of its proper divisors (1345791800).

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

971038240 is a wasteful number, since it uses less digits than its factorization.

971038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60205 (or 60197 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 971038240 is about 31161.4864857247. The cubic root of 971038240 is about 990.2513527004.

The spelling of 971038240 in words is "nine hundred seventy-one million, thirty-eight thousand, two hundred forty".