993525120 has 384 divisors, whose sum is σ = 4023190080. Its totient is φ = 221184000.

The previous prime is 993525103. The next prime is 993525133. The reversal of 993525120 is 21525399.

It is a happy number.

993525120 is a `hidden beast` number, since 9 + 9 + 3 + 525 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1652820 + ... + 1653420.

Almost surely, 2^993525120 is an apocalyptic number.

993525120 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 993525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011595040).

993525120 is an abundant number, since it is smaller than the sum of its proper divisors (3029664960).

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

993525120 is a wasteful number, since it uses less digits than its factorization.

993525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 993525120 is about 31520.2335016732. The cubic root of 993525120 is about 997.8370316075.

The spelling of 993525120 in words is "nine hundred ninety-three million, five hundred twenty-five thousand, one hundred twenty".