961408000 has 352 divisors, whose sum is σ = 2912307840. Its totient is φ = 309657600.

The previous prime is 961407973. The next prime is 961408003. The reversal of 961408000 is 804169.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 961408000.

It is not an unprimeable number, because it can be changed into a prime (961408003) 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 31 ways as a sum of consecutive naturals, for example, 25983982 + ... + 25984018.

Almost surely, 2^961408000 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 961408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456153920).

961408000 is an abundant number, since it is smaller than the sum of its proper divisors (1950899840).

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

961408000 is a wasteful number, since it uses less digits than its factorization.

961408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 961408000 is about 31006.5799468435. The cubic root of 961408000 is about 986.9668756144.

The spelling of 961408000 in words is "nine hundred sixty-one million, four hundred eight thousand".