959358816 has 240 divisors, whose sum is σ = 3088961568. Its totient is φ = 290304000.

The previous prime is 959358793. The next prime is 959358817. The reversal of 959358816 is 618853959.

It is a happy number.

959358816 is a `hidden beast` number, since 9 + 59 + 3 + 588 + 1 + 6 = 666.

959358816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (959358817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2392216 + ... + 2392616.

Almost surely, 2^959358816 is an apocalyptic number.

959358816 is a gapful number since it is divisible by the number (96) 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 959358816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544480784).

959358816 is an abundant number, since it is smaller than the sum of its proper divisors (2129602752).

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

959358816 is a wasteful number, since it uses less digits than its factorization.

959358816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 959358816 is about 30973.5179790737. The cubic root of 959358816 is about 986.2651564124.

The spelling of 959358816 in words is "nine hundred fifty-nine million, three hundred fifty-eight thousand, eight hundred sixteen".