993072000 has 256 divisors, whose sum is σ = 3488546880. Its totient is φ = 249036800.

The previous prime is 993071999. The next prime is 993072019. The reversal of 993072000 is 270399.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815392 + ... + 816608.

Almost surely, 2^993072000 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 993072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744273440).

993072000 is an abundant number, since it is smaller than the sum of its proper divisors (2495474880).

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

993072000 is a wasteful number, since it uses less digits than its factorization.

993072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 993072000 is about 31513.0449179383. The cubic root of 993072000 is about 997.6853130247.

The spelling of 993072000 in words is "nine hundred ninety-three million, seventy-two thousand".