961649280 has 512 divisors, whose sum is σ = 3745440000. Its totient is φ = 232243200.

The previous prime is 961649279. The next prime is 961649317. The reversal of 961649280 is 82946169.

It is a happy number.

961649280 is a `hidden beast` number, since 9 + 616 + 4 + 9 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9521230 + ... + 9521330.

Almost surely, 2^961649280 is an apocalyptic number.

961649280 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 961649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872720000).

961649280 is an abundant number, since it is smaller than the sum of its proper divisors (2783790720).

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

961649280 is a wasteful number, since it uses less digits than its factorization.

961649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 961649280 is about 31010.4704898200. The cubic root of 961649280 is about 987.0494335049.

The spelling of 961649280 in words is "nine hundred sixty-one million, six hundred forty-nine thousand, two hundred eighty".