86076100 has 72 divisors (see below), whose sum is σ = 215798688. Its totient is φ = 29452800.

The previous prime is 86076079. The next prime is 86076113. The reversal of 86076100 is 167068.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16399 + ... + 21001.

It is an arithmetic number, because the mean of its divisors is an integer number (2997204).

Almost surely, 2^86076100 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 86076100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107899344).

86076100 is an abundant number, since it is smaller than the sum of its proper divisors (129722588).

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

86076100 is a wasteful number, since it uses less digits than its factorization.

86076100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 86076100 is about 9277.7206252398. The cubic root of 86076100 is about 441.5306538981.

The spelling of 86076100 in words is "eighty-six million, seventy-six thousand, one hundred".