86025360 has 80 divisors (see below), whose sum is σ = 271750464. Its totient is φ = 22503936.

The previous prime is 86025349. The next prime is 86025371. The reversal of 86025360 is 6352068.

It is an interprime number because it is at equal distance from previous prime (86025349) and next prime (86025371).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9339 + ... + 16101.

Almost surely, 2^86025360 is an apocalyptic number.

86025360 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 86025360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135875232).

86025360 is an abundant number, since it is smaller than the sum of its proper divisors (185725104).

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

86025360 is a wasteful number, since it uses less digits than its factorization.

86025360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 86025360 is about 9274.9857142747. The cubic root of 86025360 is about 441.4438792538.

The spelling of 86025360 in words is "eighty-six million, twenty-five thousand, three hundred sixty".