86587680 has 48 divisors (see below), whose sum is σ = 272752704. Its totient is φ = 23089920.

The previous prime is 86587673. The next prime is 86587703. The reversal of 86587680 is 8678568.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89716 + ... + 90675.

It is an arithmetic number, because the mean of its divisors is an integer number (5682348).

Almost surely, 2^86587680 is an apocalyptic number.

86587680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86587680 is an abundant number, since it is smaller than the sum of its proper divisors (186165024).

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

86587680 is a wasteful number, since it uses less digits than its factorization.

86587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180409 (or 180401 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 86587680 is about 9305.2501309744. The cubic root of 86587680 is about 442.4036497426.

The spelling of 86587680 in words is "eighty-six million, five hundred eighty-seven thousand, six hundred eighty".