993481920 has 84 divisors (see below), whose sum is σ = 3417173760. Its totient is φ = 264927744.

The previous prime is 993481919. The next prime is 993481949. The reversal of 993481920 is 29184399.

993481920 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 11 ways as a sum of consecutive naturals, for example, 169600 + ... + 175359.

It is an arithmetic number, because the mean of its divisors is an integer number (40680640).

Almost surely, 2^993481920 is an apocalyptic number.

993481920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993481920 is an abundant number, since it is smaller than the sum of its proper divisors (2423691840).

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

993481920 is a wasteful number, since it uses less digits than its factorization.

993481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344982 (or 344969 counting only the distinct ones).

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

The square root of 993481920 is about 31519.5482201125. The cubic root of 993481920 is about 997.8225689017.

The spelling of 993481920 in words is "nine hundred ninety-three million, four hundred eighty-one thousand, nine hundred twenty".