83958720 has 112 divisors (see below), whose sum is σ = 280659840. Its totient is φ = 21206016.

The previous prime is 83958713. The next prime is 83958737. The reversal of 83958720 is 2785938.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15939 + ... + 20541.

Almost surely, 2^83958720 is an apocalyptic number.

83958720 is a gapful number since it is divisible by the number (80) 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 83958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140329920).

83958720 is an abundant number, since it is smaller than the sum of its proper divisors (196701120).

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

83958720 is a wasteful number, since it uses less digits than its factorization.

83958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 83958720 is about 9162.8991045411. The cubic root of 83958720 is about 437.8801615393.

The spelling of 83958720 in words is "eighty-three million, nine hundred fifty-eight thousand, seven hundred twenty".