961616340 has 48 divisors (see below), whose sum is σ = 2991696960. Its totient is φ = 256430880.

The previous prime is 961616333. The next prime is 961616377. The reversal of 961616340 is 43616169.

961616340 is a `hidden beast` number, since 9 + 6 + 1 + 616 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 961616295 and 961616304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889846 + ... + 890925.

It is an arithmetic number, because the mean of its divisors is an integer number (62327020).

Almost surely, 2^961616340 is an apocalyptic number.

961616340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

961616340 is an abundant number, since it is smaller than the sum of its proper divisors (2030080620).

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

961616340 is a wasteful number, since it uses less digits than its factorization.

961616340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780789 (or 1780781 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 961616340 is about 31009.9393743361. The cubic root of 961616340 is about 987.0381633602.

The spelling of 961616340 in words is "nine hundred sixty-one million, six hundred sixteen thousand, three hundred forty".