86468634 has 72 divisors (see below), whose sum is σ = 226070208. Its totient is φ = 24698520.

The previous prime is 86468621. The next prime is 86468651. The reversal of 86468634 is 43686468.

86468634 is a `hidden beast` number, since 8 + 6 + 4 + 6 + 8 + 634 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86468634.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21999 + ... + 25629.

It is an arithmetic number, because the mean of its divisors is an integer number (3139864).

Almost surely, 2^86468634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86468634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113035104).

86468634 is an abundant number, since it is smaller than the sum of its proper divisors (139601574).

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

86468634 is a wasteful number, since it uses less digits than its factorization.

86468634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3643 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 86468634 is about 9298.8512193711. The cubic root of 86468634 is about 442.2008089548.

The spelling of 86468634 in words is "eighty-six million, four hundred sixty-eight thousand, six hundred thirty-four".