86681520 has 60 divisors (see below), whose sum is σ = 291107856. Its totient is φ = 23114880.

The previous prime is 86681501. The next prime is 86681527. The reversal of 86681520 is 2518668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86681527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59476 + ... + 60915.

Almost surely, 2^86681520 is an apocalyptic number.

86681520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86681520 is an abundant number, since it is smaller than the sum of its proper divisors (204426336).

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

86681520 is a wasteful number, since it uses less digits than its factorization.

86681520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120410 (or 120401 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 86681520 is about 9310.2910803046. The cubic root of 86681520 is about 442.5634113856.

The spelling of 86681520 in words is "eighty-six million, six hundred eighty-one thousand, five hundred twenty".