86879700 has 108 divisors (see below), whose sum is σ = 279786780. Its totient is φ = 22533120.

The previous prime is 86879659. The next prime is 86879713. The reversal of 86879700 is 797868.

It can be written as a sum of positive squares in 6 ways, for example, as 501264 + 86378436 = 708^2 + 9294^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31996 + ... + 34604.

Almost surely, 2^86879700 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 86879700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139893390).

86879700 is an abundant number, since it is smaller than the sum of its proper divisors (192907080).

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

86879700 is a wasteful number, since it uses less digits than its factorization.

86879700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 86879700 is about 9320.9280653806. The cubic root of 86879700 is about 442.9004323175.

The spelling of 86879700 in words is "eighty-six million, eight hundred seventy-nine thousand, seven hundred".