83691504 has 180 divisors, whose sum is σ = 268446360. Its totient is φ = 24261120.

The previous prime is 83691497. The next prime is 83691533. The reversal of 83691504 is 40519638.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462294 + ... + 462474.

Almost surely, 2^83691504 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 83691504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134223180).

83691504 is an abundant number, since it is smaller than the sum of its proper divisors (184754856).

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

83691504 is a wasteful number, since it uses less digits than its factorization.

83691504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

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

The square root of 83691504 is about 9148.3060727109. The cubic root of 83691504 is about 437.4151197510.

The spelling of 83691504 in words is "eighty-three million, six hundred ninety-one thousand, five hundred four".