83931120 has 480 divisors, whose sum is σ = 368101440. Its totient is φ = 17418240.

The previous prime is 83931097. The next prime is 83931149. The reversal of 83931120 is 2113938.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375890 + ... + 1375950.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 2^83931120 is an apocalyptic number.

83931120 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 83931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

83931120 is an abundant number, since it is smaller than the sum of its proper divisors (284170320).

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

83931120 is a wasteful number, since it uses less digits than its factorization.

83931120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 83931120 is about 9161.3929071948. The cubic root of 83931120 is about 437.8321743975.

The spelling of 83931120 in words is "eighty-three million, nine hundred thirty-one thousand, one hundred twenty".