956266560 has 280 divisors, whose sum is σ = 3452042880. Its totient is φ = 251237376.

The previous prime is 956266529. The next prime is 956266567. The reversal of 956266560 is 65662659.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956266567) 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, 2047447 + ... + 2047913.

Almost surely, 2^956266560 is an apocalyptic number.

956266560 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 956266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726021440).

956266560 is an abundant number, since it is smaller than the sum of its proper divisors (2495776320).

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

956266560 is a wasteful number, since it uses less digits than its factorization.

956266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 956266560 is about 30923.5599503033. The cubic root of 956266560 is about 985.2043552054.

The spelling of 956266560 in words is "nine hundred fifty-six million, two hundred sixty-six thousand, five hundred sixty".