86126592 has 104 divisors (see below), whose sum is σ = 236425024. Its totient is φ = 27869184.

The previous prime is 86126561. The next prime is 86126597. The reversal of 86126592 is 29562168.

It is a self number, because there is not a number n which added to its sum of digits gives 86126592.

It is not an unprimeable number, because it can be changed into a prime (86126597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528303 + ... + 528465.

Almost surely, 2^86126592 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 86126592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118212512).

86126592 is an abundant number, since it is smaller than the sum of its proper divisors (150298432).

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

86126592 is a wasteful number, since it uses less digits than its factorization.

86126592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 86126592 is about 9280.4413688143. The cubic root of 86126592 is about 441.6169705723.

The spelling of 86126592 in words is "eighty-six million, one hundred twenty-six thousand, five hundred ninety-two".