83688704 has 72 divisors (see below), whose sum is σ = 184548672. Its totient is φ = 37560320.

The previous prime is 83688677. The next prime is 83688713. The reversal of 83688704 is 40788638.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318077 + ... + 318339.

It is an arithmetic number, because the mean of its divisors is an integer number (2563176).

Almost surely, 2^83688704 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 83688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92274336).

83688704 is an abundant number, since it is smaller than the sum of its proper divisors (100859968).

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

83688704 is a wasteful number, since it uses less digits than its factorization.

83688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 83688704 is about 9148.1530376355. The cubic root of 83688704 is about 437.4102416135.

The spelling of 83688704 in words is "eighty-three million, six hundred eighty-eight thousand, seven hundred four".