993007104 has 80 divisors (see below), whose sum is σ = 2665037760. Its totient is φ = 328550400.

The previous prime is 993007091. The next prime is 993007109. The reversal of 993007104 is 401700399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993007109) 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, 211179 + ... + 215829.

It is an arithmetic number, because the mean of its divisors is an integer number (33312972).

Almost surely, 2^993007104 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 993007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332518880).

993007104 is an abundant number, since it is smaller than the sum of its proper divisors (1672030656).

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

993007104 is a wasteful number, since it uses less digits than its factorization.

993007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 993007104 is about 31512.0152322888. The cubic root of 993007104 is about 997.6635800599.

The spelling of 993007104 in words is "nine hundred ninety-three million, seven thousand, one hundred four".