965095560 has 320 divisors, whose sum is σ = 3812719680. Its totient is φ = 215861760.

The previous prime is 965095543. The next prime is 965095589. The reversal of 965095560 is 65590569.

965095560 is a `hidden beast` number, since 96 + 5 + 0 + 9 + 556 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 462279 + ... + 464361.

It is an arithmetic number, because the mean of its divisors is an integer number (11914749).

Almost surely, 2^965095560 is an apocalyptic number.

965095560 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 965095560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906359840).

965095560 is an abundant number, since it is smaller than the sum of its proper divisors (2847624120).

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

965095560 is a wasteful number, since it uses less digits than its factorization.

965095560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 965095560 is about 31065.9871885636. The cubic root of 965095560 is about 988.2271301096.

The spelling of 965095560 in words is "nine hundred sixty-five million, ninety-five thousand, five hundred sixty".