993248256 has 704 divisors, whose sum is σ = 3961681920. Its totient is φ = 212336640.

The previous prime is 993248233. The next prime is 993248297. The reversal of 993248256 is 652842399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (933120) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52276215 + ... + 52276233.

Almost surely, 2^993248256 is an apocalyptic number.

993248256 is a gapful number since it is divisible by the number (96) 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 993248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980840960).

993248256 is an abundant number, since it is smaller than the sum of its proper divisors (2968433664).

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

993248256 is a wasteful number, since it uses less digits than its factorization.

993248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 993248256 is about 31515.8413500259. The cubic root of 993248256 is about 997.7443344653.

The spelling of 993248256 in words is "nine hundred ninety-three million, two hundred forty-eight thousand, two hundred fifty-six".