993947760 has 640 divisors, whose sum is σ = 4099737600. Its totient is φ = 221709312.

The previous prime is 993947753. The next prime is 993947803. The reversal of 993947760 is 67749399.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 993947697 and 993947706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43215109 + ... + 43215131.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2^993947760 is an apocalyptic number.

993947760 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 993947760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049868800).

993947760 is an abundant number, since it is smaller than the sum of its proper divisors (3105789840).

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

993947760 is a wasteful number, since it uses less digits than its factorization.

993947760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 993947760 is about 31526.9370538909. The cubic root of 993947760 is about 997.9785029700.

It can be divided in two parts, 993 and 947760, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 993947760 in words is "nine hundred ninety-three million, nine hundred forty-seven thousand, seven hundred sixty".