959264768 has 216 divisors, whose sum is σ = 2483535600. Its totient is φ = 369008640.

The previous prime is 959264753. The next prime is 959264773. The reversal of 959264768 is 867462959.

It is a happy number.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12142553 + ... + 12142631.

It is an arithmetic number, because the mean of its divisors is an integer number (11497850).

Almost surely, 2^959264768 is an apocalyptic number.

959264768 is a gapful number since it is divisible by the number (98) 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 959264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241767800).

959264768 is an abundant number, since it is smaller than the sum of its proper divisors (1524270832).

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

959264768 is a wasteful number, since it uses less digits than its factorization.

959264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The square root of 959264768 is about 30971.9997417022. Note that the first 3 decimals coincide. The cubic root of 959264768 is about 986.2329267971.

The spelling of 959264768 in words is "nine hundred fifty-nine million, two hundred sixty-four thousand, seven hundred sixty-eight".