86137032 has 64 divisors (see below), whose sum is σ = 228888000. Its totient is φ = 26936064.

The previous prime is 86137027. The next prime is 86137057. The reversal of 86137032 is 23073168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48838 + ... + 50570.

It is an arithmetic number, because the mean of its divisors is an integer number (3576375).

Almost surely, 2^86137032 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 86137032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114444000).

86137032 is an abundant number, since it is smaller than the sum of its proper divisors (142750968).

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

86137032 is a wasteful number, since it uses less digits than its factorization.

86137032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 86137032 is about 9281.0038250181. The cubic root of 86137032 is about 441.6348136674.

The spelling of 86137032 in words is "eighty-six million, one hundred thirty-seven thousand, thirty-two".