83731320 has 160 divisors (see below), whose sum is σ = 288454320. Its totient is φ = 21772800.

The previous prime is 83731301. The next prime is 83731321. The reversal of 83731320 is 2313738.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83731321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139020 + ... + 139620.

Almost surely, 2^83731320 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 83731320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144227160).

83731320 is an abundant number, since it is smaller than the sum of its proper divisors (204723000).

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

83731320 is a wasteful number, since it uses less digits than its factorization.

83731320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 83731320 is about 9150.4819545202. The cubic root of 83731320 is about 437.4844750954.

The spelling of 83731320 in words is "eighty-three million, seven hundred thirty-one thousand, three hundred twenty".