961192000 has 112 divisors (see below), whose sum is σ = 2400501168. Its totient is φ = 381235200.

The previous prime is 961191967. The next prime is 961192003. The reversal of 961192000 is 291169.

It can be written as a sum of positive squares in 8 ways, for example, as 127599616 + 833592384 = 11296^2 + 28872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 961192000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961192003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095562 + ... + 1096438.

Almost surely, 2^961192000 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 961192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200250584).

961192000 is an abundant number, since it is smaller than the sum of its proper divisors (1439309168).

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

961192000 is a wasteful number, since it uses less digits than its factorization.

961192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 961192000 is about 31003.0966195314. The cubic root of 961192000 is about 986.8929559699.

The spelling of 961192000 in words is "nine hundred sixty-one million, one hundred ninety-two thousand".