86435712 has 192 divisors, whose sum is σ = 286416000. Its totient is φ = 24744960.

The previous prime is 86435707. The next prime is 86435743. The reversal of 86435712 is 21753468.

86435712 is a `hidden beast` number, since 8 + 643 + 5 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×86435712² = 14942264617893888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240589 + ... + 240947.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^86435712 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 86435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

86435712 is an abundant number, since it is smaller than the sum of its proper divisors (199980288).

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

86435712 is a wasteful number, since it uses less digits than its factorization.

86435712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 86435712 is about 9297.0808321752. The cubic root of 86435712 is about 442.1446807676.

The spelling of 86435712 in words is "eighty-six million, four hundred thirty-five thousand, seven hundred twelve".