993520 has 40 divisors (see below), whose sum is σ = 2522160. Its totient is φ = 360960.

The previous prime is 993493. The next prime is 993527. The reversal of 993520 is 25399.

993520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 1444.

It is an arithmetic number, because the mean of its divisors is an integer number (63054).

2⁹⁹³⁵²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261080).

993520 is an abundant number, since it is smaller than the sum of its proper divisors (1528640).

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

993520 is a wasteful number, since it uses less digits than its factorization.

993520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 993520 is about 996.7547341247. The cubic root of 993520 is about 99.7835317531.

The spelling of 993520 in words is "nine hundred ninety-three thousand, five hundred twenty".