993081600 has 432 divisors, whose sum is σ = 4166816640. Its totient is φ = 226713600.

The previous prime is 993081599. The next prime is 993081611. The reversal of 993081600 is 6180399.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×993081600² = 1972422128517120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209190 + ... + 1210010.

Almost surely, 2^993081600 is an apocalyptic number.

993081600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083408320).

993081600 is an abundant number, since it is smaller than the sum of its proper divisors (3173735040).

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

993081600 is a wasteful number, since it uses less digits than its factorization.

993081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 993081600 is about 31513.1972354441. The cubic root of 993081600 is about 997.6885278800.

The spelling of 993081600 in words is "nine hundred ninety-three million, eighty-one thousand, six hundred".