86125920 has 48 divisors (see below), whose sum is σ = 271298160. Its totient is φ = 22966784.

The previous prime is 86125913. The next prime is 86125931. The reversal of 86125920 is 2952168.

86125920 = 351² + 352² + ... + 670².

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

It is a congruent number.

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, 89235 + ... + 90194.

It is an arithmetic number, because the mean of its divisors is an integer number (5652045).

Almost surely, 2^86125920 is an apocalyptic number.

86125920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86125920 is an abundant number, since it is smaller than the sum of its proper divisors (185172240).

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

86125920 is a wasteful number, since it uses less digits than its factorization.

86125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179447 (or 179439 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 86125920 is about 9280.4051635691. The cubic root of 86125920 is about 441.6158220019.

The spelling of 86125920 in words is "eighty-six million, one hundred twenty-five thousand, nine hundred twenty".