956229120 has 720 divisors, whose sum is σ = 4245040800. Its totient is φ = 198696960.

The previous prime is 956229119. The next prime is 956229133. The reversal of 956229120 is 21922659.

It is a happy number.

956229120 is a `hidden beast` number, since 9 + 5 + 622 + 9 + 1 + 20 = 666.

956229120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86929915 + ... + 86929925.

It is an arithmetic number, because the mean of its divisors is an integer number (5895890).

Almost surely, 2^956229120 is an apocalyptic number.

956229120 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 956229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122520400).

956229120 is an abundant number, since it is smaller than the sum of its proper divisors (3288811680).

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

956229120 is a wasteful number, since it uses less digits than its factorization.

956229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 956229120 is about 30922.9545806994. The cubic root of 956229120 is about 985.1914973776.

The spelling of 956229120 in words is "nine hundred fifty-six million, two hundred twenty-nine thousand, one hundred twenty".