86574720 has 128 divisors (see below), whose sum is σ = 280491840. Its totient is φ = 22708224.

The previous prime is 86574713. The next prime is 86574721. The reversal of 86574720 is 2747568.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86574721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128304 + ... + 128976.

Almost surely, 2^86574720 is an apocalyptic number.

86574720 is a gapful number since it is divisible by the number (80) 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 86574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140245920).

86574720 is an abundant number, since it is smaller than the sum of its proper divisors (193917120).

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

86574720 is a wasteful number, since it uses less digits than its factorization.

86574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 86574720 is about 9304.5537238494. The cubic root of 86574720 is about 442.3815764046.

The spelling of 86574720 in words is "eighty-six million, five hundred seventy-four thousand, seven hundred twenty".