959825880 has 384 divisors, whose sum is σ = 3615131520. Its totient is φ = 218972160.

The previous prime is 959825879. The next prime is 959825897. The reversal of 959825880 is 88528959.

959825880 is a `hidden beast` number, since 9 + 59 + 8 + 2 + 588 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3982560 + ... + 3982800.

It is an arithmetic number, because the mean of its divisors is an integer number (9414405).

Almost surely, 2^959825880 is an apocalyptic number.

959825880 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 959825880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807565760).

959825880 is an abundant number, since it is smaller than the sum of its proper divisors (2655305640).

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

959825880 is a wasteful number, since it uses less digits than its factorization.

959825880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The square root of 959825880 is about 30981.0567928210. The cubic root of 959825880 is about 986.4251848974.

The spelling of 959825880 in words is "nine hundred fifty-nine million, eight hundred twenty-five thousand, eight hundred eighty".