86790528 has 160 divisors (see below), whose sum is σ = 282138120. Its totient is φ = 26265600.

The previous prime is 86790511. The next prime is 86790541. The reversal of 86790528 is 82509768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113668 + ... + 114428.

Almost surely, 2^86790528 is an apocalyptic number.

86790528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141069060).

86790528 is an abundant number, since it is smaller than the sum of its proper divisors (195347592).

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

86790528 is a wasteful number, since it uses less digits than its factorization.

86790528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86790528 is about 9316.1434080847. The cubic root of 86790528 is about 442.7488516944.

The spelling of 86790528 in words is "eighty-six million, seven hundred ninety thousand, five hundred twenty-eight".