961391400 has 96 divisors (see below), whose sum is σ = 2985195840. Its totient is φ = 255951360.

The previous prime is 961391399. The next prime is 961391419. The reversal of 961391400 is 4193169.

961391400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579372 + ... + 581028.

It is an arithmetic number, because the mean of its divisors is an integer number (31095790).

Almost surely, 2^961391400 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 961391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492597920).

961391400 is an abundant number, since it is smaller than the sum of its proper divisors (2023804440).

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

961391400 is a wasteful number, since it uses less digits than its factorization.

961391400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 961391400 is about 31006.3122605704. The cubic root of 961391400 is about 986.9611951456.

The spelling of 961391400 in words is "nine hundred sixty-one million, three hundred ninety-one thousand, four hundred".