8861952 has 72 divisors (see below), whose sum is σ = 25754400. Its totient is φ = 2682880.

The previous prime is 8861929. The next prime is 8861987. The reversal of 8861952 is 2591688.

It is a self number, because there is not a number n which added to its sum of digits gives 8861952.

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, 7924 + ... + 8972.

It is an arithmetic number, because the mean of its divisors is an integer number (357700).

Almost surely, 2^8861952 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 8861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877200).

8861952 is an abundant number, since it is smaller than the sum of its proper divisors (16892448).

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

8861952 is a wasteful number, since it uses less digits than its factorization.

8861952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 8861952 is about 2976.9030887820. The cubic root of 8861952 is about 206.9393740635.

It can be divided in two parts, 88 and 61952, that multiplied together give a cube (5451776 = 176³).

The spelling of 8861952 in words is "eight million, eight hundred sixty-one thousand, nine hundred fifty-two".