956121408 has 308 divisors, whose sum is σ = 3239646048. Its totient is φ = 277136640.

The previous prime is 956121407. The next prime is 956121427. The reversal of 956121408 is 804121659.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956121407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 41570485 + ... + 41570507.

Almost surely, 2^956121408 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 956121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619823024).

956121408 is an abundant number, since it is smaller than the sum of its proper divisors (2283524640).

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

956121408 is an equidigital number, since it uses as much as digits as its factorization.

956121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 956121408 is about 30921.2129128209. The cubic root of 956121408 is about 985.1545045241.

It can be divided in two parts, 95612 and 1408, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 956121408 in words is "nine hundred fifty-six million, one hundred twenty-one thousand, four hundred eight".