86213504 has 64 divisors (see below), whose sum is σ = 186611040. Its totient is φ = 39438336.

The previous prime is 86213483. The next prime is 86213509. The reversal of 86213504 is 40531268.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86213509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327677 + ... + 327939.

Almost surely, 2^86213504 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 86213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93305520).

86213504 is an abundant number, since it is smaller than the sum of its proper divisors (100397536).

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

86213504 is a wasteful number, since it uses less digits than its factorization.

86213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 86213504 is about 9285.1227240139. The cubic root of 86213504 is about 441.7654686915.

The spelling of 86213504 in words is "eighty-six million, two hundred thirteen thousand, five hundred four".