993760020 has 144 divisors (see below), whose sum is σ = 3335230080. Its totient is φ = 237484800.

The previous prime is 993759989. The next prime is 993760037. The reversal of 993760020 is 20067399.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137046 + ... + 144114.

It is an arithmetic number, because the mean of its divisors is an integer number (23161320).

Almost surely, 2^993760020 is an apocalyptic number.

993760020 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 993760020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667615040).

993760020 is an abundant number, since it is smaller than the sum of its proper divisors (2341470060).

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

993760020 is a wasteful number, since it uses less digits than its factorization.

993760020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 993760020 is about 31523.9594594334. The cubic root of 993760020 is about 997.9156652337.

The spelling of 993760020 in words is "nine hundred ninety-three million, seven hundred sixty thousand, twenty".