993373920 has 864 divisors, whose sum is σ = 4634413056. Its totient is φ = 188006400.

The previous prime is 993373919. The next prime is 993373939. The reversal of 993373920 is 29373399.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32044305 + ... + 32044335.

It is an arithmetic number, because the mean of its divisors is an integer number (5363904).

Almost surely, 2^993373920 is an apocalyptic number.

993373920 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 993373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317206528).

993373920 is an abundant number, since it is smaller than the sum of its proper divisors (3641039136).

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

993373920 is a wasteful number, since it uses less digits than its factorization.

993373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The square root of 993373920 is about 31517.8349510242. The cubic root of 993373920 is about 997.7864103028.

The spelling of 993373920 in words is "nine hundred ninety-three million, three hundred seventy-three thousand, nine hundred twenty".