86909004 has 192 divisors, whose sum is σ = 286003200. Its totient is φ = 22208256.

The previous prime is 86908999. The next prime is 86909033. The reversal of 86909004 is 40090968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86909004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363517 + ... + 363755.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 2^86909004 is an apocalyptic number.

86909004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86909004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143001600).

86909004 is an abundant number, since it is smaller than the sum of its proper divisors (199094196).

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

86909004 is a wasteful number, since it uses less digits than its factorization.

86909004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 86909004 is about 9322.4998793242. The cubic root of 86909004 is about 442.9502226035.

The spelling of 86909004 in words is "eighty-six million, nine hundred nine thousand, four".