993921840 has 200 divisors, whose sum is σ = 3476906928. Its totient is φ = 263139840.

The previous prime is 993921833. The next prime is 993921857. The reversal of 993921840 is 48129399.

993921840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1055770 + ... + 1056710.

Almost surely, 2^993921840 is an apocalyptic number.

993921840 is a gapful number since it is divisible by the number (90) 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 993921840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738453464).

993921840 is an abundant number, since it is smaller than the sum of its proper divisors (2482985088).

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

993921840 is a wasteful number, since it uses less digits than its factorization.

993921840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 993921840 is about 31526.5259741698. The cubic root of 993921840 is about 997.9698278569.

The spelling of 993921840 in words is "nine hundred ninety-three million, nine hundred twenty-one thousand, eight hundred forty".