83720688 has 80 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 25781760.

The previous prime is 83720687. The next prime is 83720701. The reversal of 83720688 is 88602738.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83720687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36273 + ... + 38511.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2^83720688 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 83720688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

83720688 is an abundant number, since it is smaller than the sum of its proper divisors (149597712).

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

83720688 is a wasteful number, since it uses less digits than its factorization.

83720688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 83720688 is about 9149.9009830708. The cubic root of 83720688 is about 437.4659574056.

The spelling of 83720688 in words is "eighty-three million, seven hundred twenty thousand, six hundred eighty-eight".