953340960 has 768 divisors, whose sum is σ = 4023613440. Its totient is φ = 185794560.

The previous prime is 953340959. The next prime is 953340967. The reversal of 953340960 is 69043359.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (953340967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22170699 + ... + 22170741.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^953340960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 953340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

953340960 is an abundant number, since it is smaller than the sum of its proper divisors (3070272480).

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

953340960 is a wasteful number, since it uses less digits than its factorization.

953340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 953340960 is about 30876.2199758973. The cubic root of 953340960 is about 984.1986181128.

The spelling of 953340960 in words is "nine hundred fifty-three million, three hundred forty thousand, nine hundred sixty".