86952600 has 288 divisors, whose sum is σ = 342001920. Its totient is φ = 19388160.

The previous prime is 86952589. The next prime is 86952601. The reversal of 86952600 is 625968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86952601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 844149 + ... + 844251.

Almost surely, 2^86952600 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 86952600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171000960).

86952600 is an abundant number, since it is smaller than the sum of its proper divisors (255049320).

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

86952600 is a wasteful number, since it uses less digits than its factorization.

86952600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86952600 is about 9324.8378001979. The cubic root of 86952600 is about 443.0242756512.

The spelling of 86952600 in words is "eighty-six million, nine hundred fifty-two thousand, six hundred".