8971904 has 32 divisors (see below), whose sum is σ = 18497700. Its totient is φ = 4329472.

The previous prime is 8971883. The next prime is 8971913. The reversal of 8971904 is 4091798.

It can be written as a sum of positive squares in 2 ways, for example, as 8065600 + 906304 = 2840^2 + 952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×8971904² = 160990122770432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2504 + ... + 4920.

Almost surely, 2^8971904 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 8971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248850).

8971904 is an abundant number, since it is smaller than the sum of its proper divisors (9525796).

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

8971904 is a wasteful number, since it uses less digits than its factorization.

8971904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 8971904 is about 2995.3136730566. The cubic root of 8971904 is about 207.7917046936.

The spelling of 8971904 in words is "eight million, nine hundred seventy-one thousand, nine hundred four".