959938560 has 512 divisors, whose sum is σ = 4026470400. Its totient is φ = 212336640.

The previous prime is 959938549. The next prime is 959938589. The reversal of 959938560 is 65839959.

It is a tau number, because it is divible by the number of its divisors (512).

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 = 959938497 and 959938506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30965745 + ... + 30965775.

It is an arithmetic number, because the mean of its divisors is an integer number (7864200).

Almost surely, 2^959938560 is an apocalyptic number.

959938560 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 959938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013235200).

959938560 is an abundant number, since it is smaller than the sum of its proper divisors (3066531840).

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

959938560 is an equidigital number, since it uses as much as digits as its factorization.

959938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 959938560 is about 30982.8752700585. The cubic root of 959938560 is about 986.4637842735.

The spelling of 959938560 in words is "nine hundred fifty-nine million, nine hundred thirty-eight thousand, five hundred sixty".