993629832 has 64 divisors (see below), whose sum is σ = 2715142080. Its totient is φ = 301162752.

The previous prime is 993629807. The next prime is 993629837. The reversal of 993629832 is 238926399.

993629832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (993629837) 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, 2863 + ... + 44670.

It is an arithmetic number, because the mean of its divisors is an integer number (42424095).

Almost surely, 2^993629832 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 993629832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357571040).

993629832 is an abundant number, since it is smaller than the sum of its proper divisors (1721512248).

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

993629832 is a wasteful number, since it uses less digits than its factorization.

993629832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47622 (or 47618 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The square root of 993629832 is about 31521.8944862139. The cubic root of 993629832 is about 997.8720858598.

The spelling of 993629832 in words is "nine hundred ninety-three million, six hundred twenty-nine thousand, eight hundred thirty-two".