86575680 has 168 divisors, whose sum is σ = 310969152. Its totient is φ = 22066176.

The previous prime is 86575663. The next prime is 86575681. The reversal of 86575680 is 8657568.

86575680 is a `hidden beast` number, since 86 + 5 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86575681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65587 + ... + 66893.

Almost surely, 2^86575680 is an apocalyptic number.

86575680 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 86575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155484576).

86575680 is an abundant number, since it is smaller than the sum of its proper divisors (224393472).

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

86575680 is a wasteful number, since it uses less digits than its factorization.

86575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 86575680 is about 9304.6053113499. The cubic root of 86575680 is about 442.3832115422.

The spelling of 86575680 in words is "eighty-six million, five hundred seventy-five thousand, six hundred eighty".