959713920 has 672 divisors, whose sum is σ = 4003462260. Its totient is φ = 218972160.

The previous prime is 959713919. The next prime is 959713927. The reversal of 959713920 is 29317959.

It is a happy number.

959713920 is a `hidden beast` number, since 9 + 597 + 1 + 39 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 954068544 + 5645376 = 30888^2 + 2376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (959713927) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 56453752 + ... + 56453768.

Almost surely, 2^959713920 is an apocalyptic number.

959713920 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 959713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001731130).

959713920 is an abundant number, since it is smaller than the sum of its proper divisors (3043748340).

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

959713920 is a wasteful number, since it uses less digits than its factorization.

959713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 959713920 is about 30979.2498295230. The cubic root of 959713920 is about 986.3868291704.

The spelling of 959713920 in words is "nine hundred fifty-nine million, seven hundred thirteen thousand, nine hundred twenty".