993975840 has 384 divisors, whose sum is σ = 4089657600. Its totient is φ = 222289920.

The previous prime is 993975803. The next prime is 993975859. The reversal of 993975840 is 48579399.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616956 + ... + 618564.

It is an arithmetic number, because the mean of its divisors is an integer number (10650150).

Almost surely, 2^993975840 is an apocalyptic number.

993975840 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 993975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044828800).

993975840 is an abundant number, since it is smaller than the sum of its proper divisors (3095681760).

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

993975840 is a wasteful number, since it uses less digits than its factorization.

993975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 993975840 is about 31527.3823842069. The cubic root of 993975840 is about 997.9879008390.

The spelling of 993975840 in words is "nine hundred ninety-three million, nine hundred seventy-five thousand, eight hundred forty".