961032000 has 224 divisors, whose sum is σ = 3313200384. Its totient is φ = 244992000.

The previous prime is 961031959. The next prime is 961032013. The reversal of 961032000 is 230169.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551130 + ... + 552870.

Almost surely, 2^961032000 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 961032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656600192).

961032000 is an abundant number, since it is smaller than the sum of its proper divisors (2352168384).

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

961032000 is a wasteful number, since it uses less digits than its factorization.

961032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 961032000 is about 31000.5161247357. The cubic root of 961032000 is about 986.8381935377.

Adding to 961032000 its reverse (230169), we get a palindrome (961262169).

The spelling of 961032000 in words is "nine hundred sixty-one million, thirty-two thousand".