83918304 has 72 divisors (see below), whose sum is σ = 242260200. Its totient is φ = 27548928.

The previous prime is 83918299. The next prime is 83918309. The reversal of 83918304 is 40381938.

It is an interprime number because it is at equal distance from previous prime (83918299) and next prime (83918309).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83918309) 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 11 ways as a sum of consecutive naturals, for example, 17122 + ... + 21470.

It is an arithmetic number, because the mean of its divisors is an integer number (3364725).

Almost surely, 2^83918304 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 83918304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121130100).

83918304 is an abundant number, since it is smaller than the sum of its proper divisors (158341896).

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

83918304 is a wasteful number, since it uses less digits than its factorization.

83918304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83918304 is about 9160.6934235351. The cubic root of 83918304 is about 437.8098880958.

The spelling of 83918304 in words is "eighty-three million, nine hundred eighteen thousand, three hundred four".