93983040 has 84 divisors (see below), whose sum is σ = 323272404. Its totient is φ = 25061376.

The previous prime is 93983027. The next prime is 93983069. The reversal of 93983040 is 4038939.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 44195904 = 7056^2 + 6648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93982986 and 93983004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13437 + ... + 19196.

It is an arithmetic number, because the mean of its divisors is an integer number (3848481).

Almost surely, 2^93983040 is an apocalyptic number.

93983040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93983040 is an abundant number, since it is smaller than the sum of its proper divisors (229289364).

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

93983040 is a wasteful number, since it uses less digits than its factorization.

93983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32656 (or 32643 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93983040 is about 9694.4850301602. The cubic root of 93983040 is about 454.6562472231.

The spelling of 93983040 in words is "ninety-three million, nine hundred eighty-three thousand, forty".