86150736 has 160 divisors (see below), whose sum is σ = 292044800. Its totient is φ = 23794560.

The previous prime is 86150723. The next prime is 86150777. The reversal of 86150736 is 63705168.

86150736 is a `hidden beast` number, since 8 + 615 + 0 + 7 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86150736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93285 + ... + 94203.

It is an arithmetic number, because the mean of its divisors is an integer number (1825280).

Almost surely, 2^86150736 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 86150736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146022400).

86150736 is an abundant number, since it is smaller than the sum of its proper divisors (205894064).

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

86150736 is a wasteful number, since it uses less digits than its factorization.

86150736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 86150736 is about 9281.7420778645. The cubic root of 86150736 is about 441.6582331051.

The spelling of 86150736 in words is "eighty-six million, one hundred fifty thousand, seven hundred thirty-six".