86073792 has 112 divisors (see below), whose sum is σ = 265785600. Its totient is φ = 24573696.

The previous prime is 86073791. The next prime is 86073811. The reversal of 86073792 is 29737068.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86073791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65203 + ... + 66509.

Almost surely, 2^86073792 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 86073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132892800).

86073792 is an abundant number, since it is smaller than the sum of its proper divisors (179711808).

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

86073792 is a wasteful number, since it uses less digits than its factorization.

86073792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 86073792 is about 9277.5962404062. The cubic root of 86073792 is about 441.5267075380.

The spelling of 86073792 in words is "eighty-six million, seventy-three thousand, seven hundred ninety-two".