83500704 has 216 divisors, whose sum is σ = 283645908. Its totient is φ = 23224320.

The previous prime is 83500691. The next prime is 83500727. The reversal of 83500704 is 40700538.

It can be written as a sum of positive squares in 2 ways, for example, as 74857104 + 8643600 = 8652^2 + 2940^2 .

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 35 ways as a sum of consecutive naturals, for example, 860784 + ... + 860880.

Almost surely, 2^83500704 is an apocalyptic number.

83500704 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 83500704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141822954).

83500704 is an abundant number, since it is smaller than the sum of its proper divisors (200145204).

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

83500704 is a wasteful number, since it uses less digits than its factorization.

83500704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 83500704 is about 9137.8719623335. The cubic root of 83500704 is about 437.0824603034.

The spelling of 83500704 in words is "eighty-three million, five hundred thousand, seven hundred four".