993579120 has 120 divisors (see below), whose sum is σ = 3345525456. Its totient is φ = 264259584.

The previous prime is 993579077. The next prime is 993579131. The reversal of 993579120 is 21975399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 310167 + ... + 313353.

Almost surely, 2^993579120 is an apocalyptic number.

993579120 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 993579120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672762728).

993579120 is an abundant number, since it is smaller than the sum of its proper divisors (2351946336).

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

993579120 is a wasteful number, since it uses less digits than its factorization.

993579120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 993579120 is about 31521.0900826732. The cubic root of 993579120 is about 997.8551094002.

The spelling of 993579120 in words is "nine hundred ninety-three million, five hundred seventy-nine thousand, one hundred twenty".