961709760 has 280 divisors, whose sum is σ = 3733074576. Its totient is φ = 233072640.

The previous prime is 961709753. The next prime is 961709773. The reversal of 961709760 is 67907169.

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 39 ways as a sum of consecutive naturals, for example, 283434 + ... + 286806.

Almost surely, 2^961709760 is an apocalyptic number.

961709760 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 961709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866537288).

961709760 is an abundant number, since it is smaller than the sum of its proper divisors (2771364816).

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

961709760 is a wasteful number, since it uses less digits than its factorization.

961709760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 961709760 is about 31011.4456289932. The cubic root of 961709760 is about 987.0701255595.

The spelling of 961709760 in words is "nine hundred sixty-one million, seven hundred nine thousand, seven hundred sixty".