993646080 has 480 divisors, whose sum is σ = 4036938048. Its totient is φ = 221184000.

The previous prime is 993646061. The next prime is 993646103. The reversal of 993646080 is 80646399.

993646080 is a `hidden beast` number, since 9 + 9 + 36 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 9838030 + ... + 9838130.

Almost surely, 2^993646080 is an apocalyptic number.

993646080 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 993646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018469024).

993646080 is an abundant number, since it is smaller than the sum of its proper divisors (3043291968).

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

993646080 is a wasteful number, since it uses less digits than its factorization.

993646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 993646080 is about 31522.1522107866. The cubic root of 993646080 is about 997.8775249535.

The spelling of 993646080 in words is "nine hundred ninety-three million, six hundred forty-six thousand, eighty".