961100140 has 192 divisors, whose sum is σ = 2757823488. Its totient is φ = 271641600.

The previous prime is 961100137. The next prime is 961100141. The reversal of 961100140 is 41001169.

961100140 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 (22).

It is not an unprimeable number, because it can be changed into a prime (961100141) 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, 1220827 + ... + 1221613.

It is an arithmetic number, because the mean of its divisors is an integer number (14363664).

Almost surely, 2^961100140 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 961100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378911744).

961100140 is an abundant number, since it is smaller than the sum of its proper divisors (1796723348).

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

961100140 is a wasteful number, since it uses less digits than its factorization.

961100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 961100140 is about 31001.6151192160. The cubic root of 961100140 is about 986.8615162316.

It can be divided in two parts, 961 and 100140, that added together give a palindrome (101101).

The spelling of 961100140 in words is "nine hundred sixty-one million, one hundred thousand, one hundred forty".