993557152 has 96 divisors (see below), whose sum is σ = 2309271552. Its totient is φ = 411899904.

The previous prime is 993557077. The next prime is 993557153. The reversal of 993557152 is 251755399.

993557152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×993557152² = 1974311628580702208, which contains 22 as substring.

Its product of digits (425250) is a multiple of the sum of its prime factors (750).

It is not an unprimeable number, because it can be changed into a prime (993557153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593953 + ... + 2594335.

It is an arithmetic number, because the mean of its divisors is an integer number (24054912).

Almost surely, 2^993557152 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 993557152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154635776).

993557152 is an abundant number, since it is smaller than the sum of its proper divisors (1315714400).

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

993557152 is a wasteful number, since it uses less digits than its factorization.

993557152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its digits is 425250, while the sum is 46.

The square root of 993557152 is about 31520.7416156410. The cubic root of 993557152 is about 997.8477551654.

The spelling of 993557152 in words is "nine hundred ninety-three million, five hundred fifty-seven thousand, one hundred fifty-two".