956154960 has 120 divisors (see below), whose sum is σ = 3217294080. Its totient is φ = 254482176.

The previous prime is 956154943. The next prime is 956155043. The reversal of 956154960 is 69451659.

It is a happy number.

956154960 is digitally balanced in base 2 and base 6, because in such bases 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516757 + ... + 518603.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^956154960 is an apocalyptic number.

956154960 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 956154960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

956154960 is an abundant number, since it is smaller than the sum of its proper divisors (2261139120).

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

956154960 is a wasteful number, since it uses less digits than its factorization.

956154960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 956154960 is about 30921.7554482277. The cubic root of 956154960 is about 985.1660279969.

The spelling of 956154960 in words is "nine hundred fifty-six million, one hundred fifty-four thousand, nine hundred sixty".