993795840 has 216 divisors, whose sum is σ = 3461906448. Its totient is φ = 263208960.

The previous prime is 993795827. The next prime is 993795857. The reversal of 993795840 is 48597399.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236967 + ... + 3237273.

Almost surely, 2^993795840 is an apocalyptic number.

993795840 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 993795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730953224).

993795840 is an abundant number, since it is smaller than the sum of its proper divisors (2468110608).

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

993795840 is a wasteful number, since it uses less digits than its factorization.

993795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 993795840 is about 31524.5275936056. The cubic root of 993795840 is about 997.9276550196.

The spelling of 993795840 in words is "nine hundred ninety-three million, seven hundred ninety-five thousand, eight hundred forty".