86288004 has 180 divisors, whose sum is σ = 259547904. Its totient is φ = 24948000.

The previous prime is 86287979. The next prime is 86288009. The reversal of 86288004 is 40088268.

86288004 = 462² + 463² + ... + 709².

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 86288004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86288009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1215289 + ... + 1215359.

Almost surely, 2^86288004 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 86288004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129773952).

86288004 is an abundant number, since it is smaller than the sum of its proper divisors (173259900).

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

86288004 is a wasteful number, since it uses less digits than its factorization.

86288004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86288004 is about 9289.1336517460. The cubic root of 86288004 is about 441.8926802089.

The spelling of 86288004 in words is "eighty-six million, two hundred eighty-eight thousand, four".