86247504 has 120 divisors (see below), whose sum is σ = 286162240. Its totient is φ = 24634368.

The previous prime is 86247503. The next prime is 86247509. The reversal of 86247504 is 40574268.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86247503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25632 + ... + 28800.

Almost surely, 2^86247504 is an apocalyptic number.

86247504 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 86247504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143081120).

86247504 is an abundant number, since it is smaller than the sum of its proper divisors (199914736).

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

86247504 is a wasteful number, since it uses less digits than its factorization.

86247504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 86247504 is about 9286.9534294084. The cubic root of 86247504 is about 441.8235340417.

The spelling of 86247504 in words is "eighty-six million, two hundred forty-seven thousand, five hundred four".