993306900 has 72 divisors (see below), whose sum is σ = 2884440384. Its totient is φ = 263916800.

The previous prime is 993306887. The next prime is 993306901. The reversal of 993306900 is 9603399.

It is a super-2 number, since 2×993306900² = 1973317195175220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993306901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78409 + ... + 90191.

It is an arithmetic number, because the mean of its divisors is an integer number (40061672).

Almost surely, 2^993306900 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 993306900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442220192).

993306900 is an abundant number, since it is smaller than the sum of its proper divisors (1891133484).

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

993306900 is a wasteful number, since it uses less digits than its factorization.

993306900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 39.

The square root of 993306900 is about 31516.7717255432. The cubic root of 993306900 is about 997.7639705656.

The spelling of 993306900 in words is "nine hundred ninety-three million, three hundred six thousand, nine hundred".