961977640 has 64 divisors (see below), whose sum is σ = 2468082960. Its totient is φ = 334295040.

The previous prime is 961977617. The next prime is 961977641. The reversal of 961977640 is 46779169.

961977640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 417875364 + 544102276 = 20442^2 + 23326^2 .

It is not an unprimeable number, because it can be changed into a prime (961977641) 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, 45571 + ... + 63250.

Almost surely, 2^961977640 is an apocalyptic number.

It is an amenable number.

961977640 is an abundant number, since it is smaller than the sum of its proper divisors (1506105320).

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

961977640 is a wasteful number, since it uses less digits than its factorization.

961977640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108862 (or 108858 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 961977640 is about 31015.7643787800. The cubic root of 961977640 is about 987.1617650574.

The spelling of 961977640 in words is "nine hundred sixty-one million, nine hundred seventy-seven thousand, six hundred forty".