86793240 has 128 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 22310400.

The previous prime is 86793229. The next prime is 86793247. The reversal of 86793240 is 4239768.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86793247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 519637 + ... + 519803.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^86793240 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 86793240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

86793240 is an abundant number, since it is smaller than the sum of its proper divisors (183189480).

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

86793240 is a wasteful number, since it uses less digits than its factorization.

86793240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 86793240 is about 9316.2889607397. The cubic root of 86793240 is about 442.7534632667.

The spelling of 86793240 in words is "eighty-six million, seven hundred ninety-three thousand, two hundred forty".