83815392 has 96 divisors (see below), whose sum is σ = 227428992. Its totient is φ = 27016704.

The previous prime is 83815387. The next prime is 83815399. The reversal of 83815392 is 29351838.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×83815392² = 14050039872227328, which contains 22 as substring.

Its product of digits (51840) is a multiple of the sum of its prime factors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 83815392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83815399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533778 + ... + 533934.

It is an arithmetic number, because the mean of its divisors is an integer number (2369052).

Almost surely, 2^83815392 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 83815392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113714496).

83815392 is an abundant number, since it is smaller than the sum of its proper divisors (143613600).

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

83815392 is a wasteful number, since it uses less digits than its factorization.

83815392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

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

The square root of 83815392 is about 9155.0746583521. The cubic root of 83815392 is about 437.6308476105.

The spelling of 83815392 in words is "eighty-three million, eight hundred fifteen thousand, three hundred ninety-two".