965986560 has 720 divisors, whose sum is σ = 4344988032. Its totient is φ = 200724480.

The previous prime is 965986487. The next prime is 965986561. The reversal of 965986560 is 65689569.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 965986497 and 965986506.

It is not an unprimeable number, because it can be changed into a prime (965986561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87816955 + ... + 87816965.

Almost surely, 2^965986560 is an apocalyptic number.

965986560 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 965986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172494016).

965986560 is an abundant number, since it is smaller than the sum of its proper divisors (3379001472).

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

965986560 is an equidigital number, since it uses as much as digits as its factorization.

965986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 965986560 is about 31080.3243226322. The cubic root of 965986560 is about 988.5311551128.

The spelling of 965986560 in words is "nine hundred sixty-five million, nine hundred eighty-six thousand, five hundred sixty".