959745664 has 48 divisors (see below), whose sum is σ = 1965424230. Its totient is φ = 466818048.

The previous prime is 959745653. The next prime is 959745667. The reversal of 959745664 is 466547959.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 784448064 + 175297600 = 28008^2 + 13240^2 .

It is a super-2 number, since 2×959745664² = 1842223479133601792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (959745667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172494 + ... + 177970.

Almost surely, 2^959745664 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 959745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982712115).

959745664 is an abundant number, since it is smaller than the sum of its proper divisors (1005678566).

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

959745664 is an equidigital number, since it uses as much as digits as its factorization.

959745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5516 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The square root of 959745664 is about 30979.7621682285. The cubic root of 959745664 is about 986.3977044662.

The spelling of 959745664 in words is "nine hundred fifty-nine million, seven hundred forty-five thousand, six hundred sixty-four".