86125032 has 96 divisors (see below), whose sum is σ = 276494400. Its totient is φ = 24603264.

The previous prime is 86125021. The next prime is 86125057. The reversal of 86125032 is 23052168.

It is a super-2 number, since 2×86125032² = 14835042274002048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 86124987 and 86125005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10444 + ... + 16772.

It is an arithmetic number, because the mean of its divisors is an integer number (2880150).

Almost surely, 2^86125032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138247200).

86125032 is an abundant number, since it is smaller than the sum of its proper divisors (190369368).

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

86125032 is a wasteful number, since it uses less digits than its factorization.

86125032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 86125032 is about 9280.3573207070. The cubic root of 86125032 is about 441.6143042389.

The spelling of 86125032 in words is "eighty-six million, one hundred twenty-five thousand, thirty-two".