83938960 has 200 divisors, whose sum is σ = 250073280. Its totient is φ = 26078976.

The previous prime is 83938927. The next prime is 83938973. The reversal of 83938960 is 6983938.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 83938960.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3649509 + ... + 3649531.

Almost surely, 2^83938960 is an apocalyptic number.

83938960 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 83938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125036640).

83938960 is an abundant number, since it is smaller than the sum of its proper divisors (166134320).

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

83938960 is a wasteful number, since it uses less digits than its factorization.

83938960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 83938960 is about 9161.8207797359. The cubic root of 83938960 is about 437.8458065972.

The spelling of 83938960 in words is "eighty-three million, nine hundred thirty-eight thousand, nine hundred sixty".