959745864 has 192 divisors, whose sum is σ = 3113349120. Its totient is φ = 241084800.

The previous prime is 959745859. The next prime is 959745881. The reversal of 959745864 is 468547959.

It is a super-2 number, since 2×959745864² = 1842224246930212992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629407 + ... + 630929.

It is an arithmetic number, because the mean of its divisors is an integer number (16215360).

Almost surely, 2^959745864 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 959745864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556674560).

959745864 is an abundant number, since it is smaller than the sum of its proper divisors (2153603256).

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

959745864 is a wasteful number, since it uses less digits than its factorization.

959745864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1577 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The square root of 959745864 is about 30979.7653961420. The cubic root of 959745864 is about 986.3977729842.

The spelling of 959745864 in words is "nine hundred fifty-nine million, seven hundred forty-five thousand, eight hundred sixty-four".