86985792 has 112 divisors (see below), whose sum is σ = 259689600. Its totient is φ = 28546560.

The previous prime is 86985763. The next prime is 86985809. The reversal of 86985792 is 29758968.

It is a happy number.

86985792 is a `hidden beast` number, since 8 + 69 + 8 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 122334 + ... + 123042.

Almost surely, 2^86985792 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 86985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129844800).

86985792 is an abundant number, since it is smaller than the sum of its proper divisors (172703808).

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

86985792 is a wasteful number, since it uses less digits than its factorization.

86985792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 785 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 86985792 is about 9326.6173932461. The cubic root of 86985792 is about 443.0806396590.

The spelling of 86985792 in words is "eighty-six million, nine hundred eighty-five thousand, seven hundred ninety-two".