83916504 has 192 divisors, whose sum is σ = 276756480. Its totient is φ = 22464000.

The previous prime is 83916499. The next prime is 83916523. The reversal of 83916504 is 40561938.

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

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 47 ways as a sum of consecutive naturals, for example, 640519 + ... + 640649.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^83916504 is an apocalyptic number.

83916504 is a gapful number since it is divisible by the number (84) 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 83916504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

83916504 is an abundant number, since it is smaller than the sum of its proper divisors (192839976).

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

83916504 is a wasteful number, since it uses less digits than its factorization.

83916504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83916504 is about 9160.5951771705. The cubic root of 83916504 is about 437.8067578156.

The spelling of 83916504 in words is "eighty-three million, nine hundred sixteen thousand, five hundred four".