86921100 has 324 divisors, whose sum is σ = 333171384. Its totient is φ = 19595520.

The previous prime is 86921099. The next prime is 86921141. The reversal of 86921100 is 112968.

It is a tau number, because it is divible by the number of its divisors (324).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1190664 + ... + 1190736.

Almost surely, 2^86921100 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 86921100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166585692).

86921100 is an abundant number, since it is smaller than the sum of its proper divisors (246250284).

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

86921100 is a wasteful number, since it uses less digits than its factorization.

86921100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 86921100 is about 9323.1486097777. The cubic root of 86921100 is about 442.9707715957.

The spelling of 86921100 in words is "eighty-six million, nine hundred twenty-one thousand, one hundred".