86976252 has 108 divisors (see below), whose sum is σ = 248063088. Its totient is φ = 25660800.

The previous prime is 86976247. The next prime is 86976257. The reversal of 86976252 is 25267968.

It is an interprime number because it is at equal distance from previous prime (86976247) and next prime (86976257).

Its product of digits (362880) is a multiple of the sum of its prime factors (560).

It is a junction number, because it is equal to n+sod(n) for n = 86976198 and 86976207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86976257) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178353 + ... + 178839.

Almost surely, 2^86976252 is an apocalyptic number.

86976252 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86976252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124031544).

86976252 is an abundant number, since it is smaller than the sum of its proper divisors (161086836).

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

86976252 is a wasteful number, since it uses less digits than its factorization.

86976252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 86976252 is about 9326.1059397800. The cubic root of 86976252 is about 443.0644410602.

The spelling of 86976252 in words is "eighty-six million, nine hundred seventy-six thousand, two hundred fifty-two".