961301340 has 144 divisors (see below), whose sum is σ = 2998195200. Its totient is φ = 249194880.

The previous prime is 961301291. The next prime is 961301357. The reversal of 961301340 is 43103169.

961301340 is a `hidden beast` number, since 9 + 613 + 0 + 1 + 3 + 40 = 666.

961301340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1683255 + ... + 1683825.

It is an arithmetic number, because the mean of its divisors is an integer number (20820800).

Almost surely, 2^961301340 is an apocalyptic number.

961301340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499097600).

961301340 is an abundant number, since it is smaller than the sum of its proper divisors (2036893860).

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

961301340 is a wasteful number, since it uses less digits than its factorization.

961301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 961301340 is about 31004.8599416285. The cubic root of 961301340 is about 986.9303757516.

The spelling of 961301340 in words is "nine hundred sixty-one million, three hundred one thousand, three hundred forty".