8971952 has 40 divisors (see below), whose sum is σ = 19968960. Its totient is φ = 3862080.

The previous prime is 8971943. The next prime is 8971969. The reversal of 8971952 is 2591798.

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, 2003 + ... + 4685.

It is an arithmetic number, because the mean of its divisors is an integer number (499224).

Almost surely, 2^8971952 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 8971952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9984480).

8971952 is an abundant number, since it is smaller than the sum of its proper divisors (10997008).

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

8971952 is a wasteful number, since it uses less digits than its factorization.

8971952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2715 counting only the distinct ones).

The product of its digits is 45360, while the sum is 41.

The square root of 8971952 is about 2995.3216855623. The cubic root of 8971952 is about 207.7920752572.

The spelling of 8971952 in words is "eight million, nine hundred seventy-one thousand, nine hundred fifty-two".