83504520 has 288 divisors, whose sum is σ = 313709760. Its totient is φ = 19958400.

The previous prime is 83504507. The next prime is 83504537. The reversal of 83504520 is 2540538.

83504520 = 770² + 771² + ... + 890².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1176085 + ... + 1176155.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^83504520 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 83504520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

83504520 is an abundant number, since it is smaller than the sum of its proper divisors (230205240).

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

83504520 is a wasteful number, since it uses less digits than its factorization.

83504520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 83504520 is about 9138.0807612977. The cubic root of 83504520 is about 437.0891184559.

The spelling of 83504520 in words is "eighty-three million, five hundred four thousand, five hundred twenty".