961187370 has 128 divisors (see below), whose sum is σ = 2755323648. Its totient is φ = 211507200.

The previous prime is 961187351. The next prime is 961187377. The reversal of 961187370 is 73781169.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (961187377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259854 + ... + 263526.

It is an arithmetic number, because the mean of its divisors is an integer number (21525966).

Almost surely, 2^961187370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961187370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377661824).

961187370 is an abundant number, since it is smaller than the sum of its proper divisors (1794136278).

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

961187370 is a wasteful number, since it uses less digits than its factorization.

961187370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768.

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 961187370 is about 31003.0219494810. The cubic root of 961187370 is about 986.8913713674.

The spelling of 961187370 in words is "nine hundred sixty-one million, one hundred eighty-seven thousand, three hundred seventy".