993315960 has 384 divisors, whose sum is σ = 4124090880. Its totient is φ = 209392128.

The previous prime is 993315959. The next prime is 993315971. The reversal of 993315960 is 69513399.

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 95 ways as a sum of consecutive naturals, for example, 883959 + ... + 885081.

It is an arithmetic number, because the mean of its divisors is an integer number (10739820).

Almost surely, 2^993315960 is an apocalyptic number.

993315960 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 993315960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062045440).

993315960 is an abundant number, since it is smaller than the sum of its proper divisors (3130774920).

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

993315960 is a wasteful number, since it uses less digits than its factorization.

993315960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 993315960 is about 31516.9154582107. The cubic root of 993315960 is about 997.7670041075.

The spelling of 993315960 in words is "nine hundred ninety-three million, three hundred fifteen thousand, nine hundred sixty".