993106752 has 112 divisors (see below), whose sum is σ = 2875751424. Its totient is φ = 299968000.

The previous prime is 993106733. The next prime is 993106753. The reversal of 993106752 is 257601399.

It is a super-2 number, since 2×993106752² = 1972522041735979008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993106753) 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, 909727 + ... + 910817.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 2^993106752 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 993106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437875712).

993106752 is an abundant number, since it is smaller than the sum of its proper divisors (1882644672).

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

993106752 is a wasteful number, since it uses less digits than its factorization.

993106752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 993106752 is about 31513.5963038178. The cubic root of 993106752 is about 997.6969507024.

The spelling of 993106752 in words is "nine hundred ninety-three million, one hundred six thousand, seven hundred fifty-two".