86792640 has 112 divisors (see below), whose sum is σ = 300654720. Its totient is φ = 21038080.

The previous prime is 86792623. The next prime is 86792659. The reversal of 86792640 is 4629768.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86792592 and 86792601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6451 + ... + 14669.

Almost surely, 2^86792640 is an apocalyptic number.

86792640 is a gapful number since it is divisible by the number (80) 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 86792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150327360).

86792640 is an abundant number, since it is smaller than the sum of its proper divisors (213862080).

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

86792640 is a wasteful number, since it uses less digits than its factorization.

86792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 86792640 is about 9316.2567590208. The cubic root of 86792640 is about 442.7524430156.

The spelling of 86792640 in words is "eighty-six million, seven hundred ninety-two thousand, six hundred forty".