961884000 has 576 divisors, whose sum is σ = 4268339712. Its totient is φ = 199296000.

The previous prime is 961883969. The next prime is 961884029. The reversal of 961884000 is 488169.

It is a happy number.

961884000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2771827 + ... + 2772173.

It is an arithmetic number, because the mean of its divisors is an integer number (7410312).

Almost surely, 2^961884000 is an apocalyptic number.

961884000 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 961884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134169856).

961884000 is an abundant number, since it is smaller than the sum of its proper divisors (3306455712).

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

961884000 is a wasteful number, since it uses less digits than its factorization.

961884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 961884000 is about 31014.2547871136. The cubic root of 961884000 is about 987.1297335342.

The spelling of 961884000 in words is "nine hundred sixty-one million, eight hundred eighty-four thousand".