86621000976 has 120 divisors (see below), whose sum is σ = 245336083200. Its totient is φ = 28527464448.

The previous prime is 86621000951. The next prime is 86621000989. The reversal of 86621000976 is 67900012668.

86621000976 is a nontrivial binomial coefficient, being equal to C(416224, 2).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6653065 + ... + 6666071.

It is an arithmetic number, because the mean of its divisors is an integer number (2044467360).

Almost surely, 2^86621000976 is an apocalyptic number.

86621000976 is the 416223-rd triangular number and also the 208112-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86621000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122668041600).

86621000976 is an abundant number, since it is smaller than the sum of its proper divisors (158715082224).

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

86621000976 is a wasteful number, since it uses less digits than its factorization.

86621000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13564 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 86621000976 in words is "eighty-six billion, six hundred twenty-one million, nine hundred seventy-six", and thus it is an aban number.