956558040 has 512 divisors, whose sum is σ = 3545856000. Its totient is φ = 204374016.

The previous prime is 956558039. The next prime is 956558047. The reversal of 956558040 is 40855659.

956558040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 956557983 and 956558001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956558047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25852902 + ... + 25852938.

It is an arithmetic number, because the mean of its divisors is an integer number (6925500).

Almost surely, 2^956558040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956558040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772928000).

956558040 is an abundant number, since it is smaller than the sum of its proper divisors (2589297960).

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

956558040 is a wasteful number, since it uses less digits than its factorization.

956558040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 956558040 is about 30928.2725026795. The cubic root of 956558040 is about 985.3044452170.

The spelling of 956558040 in words is "nine hundred fifty-six million, five hundred fifty-eight thousand, forty".