961677360 has 480 divisors, whose sum is σ = 3951747072. Its totient is φ = 212751360.

The previous prime is 961677341. The next prime is 961677361. The reversal of 961677360 is 63776169.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (961677361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5034865 + ... + 5035055.

Almost surely, 2^961677360 is an apocalyptic number.

961677360 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 961677360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975873536).

961677360 is an abundant number, since it is smaller than the sum of its proper divisors (2990069712).

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

961677360 is a wasteful number, since it uses less digits than its factorization.

961677360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 961677360 is about 31010.9232368209. The cubic root of 961677360 is about 987.0590406382.

The spelling of 961677360 in words is "nine hundred sixty-one million, six hundred seventy-seven thousand, three hundred sixty".