86985504 has 72 divisors (see below), whose sum is σ = 255370752. Its totient is φ = 28056960.

The previous prime is 86985491. The next prime is 86985527. The reversal of 86985504 is 40558968.

86985504 is a `hidden beast` number, since 8 + 6 + 98 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×86985504² = 15132955812268032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86985504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4057 + ... + 13799.

It is an arithmetic number, because the mean of its divisors is an integer number (3546816).

Almost surely, 2^86985504 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 86985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127685376).

86985504 is an abundant number, since it is smaller than the sum of its proper divisors (168385248).

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

86985504 is a wasteful number, since it uses less digits than its factorization.

86985504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9790 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 86985504 is about 9326.6019535520. The cubic root of 86985504 is about 443.0801506620.

The spelling of 86985504 in words is "eighty-six million, nine hundred eighty-five thousand, five hundred four".