8701952 has 48 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 3723264.

The previous prime is 8701951. The next prime is 8701961. The reversal of 8701952 is 2591078.

8701952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8701952² = 151447937220608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8701951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14033 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 2^8701952 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 8701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959040).

8701952 is an abundant number, since it is smaller than the sum of its proper divisors (11216128).

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

8701952 is an equidigital number, since it uses as much as digits as its factorization.

8701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 8701952 is about 2949.9071171818. The cubic root of 8701952 is about 205.6863924556.

The spelling of 8701952 in words is "eight million, seven hundred one thousand, nine hundred fifty-two".