965737080 has 640 divisors, whose sum is σ = 4181760000. Its totient is φ = 198132480.

The previous prime is 965737061. The next prime is 965737103. The reversal of 965737080 is 80737569.

It is a happy number.

965737080 is a `hidden beast` number, since 9 + 6 + 573 + 70 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12224481 + ... + 12224559.

It is an arithmetic number, because the mean of its divisors is an integer number (6534000).

Almost surely, 2^965737080 is an apocalyptic number.

965737080 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 965737080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090880000).

965737080 is an abundant number, since it is smaller than the sum of its proper divisors (3216022920).

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

965737080 is a wasteful number, since it uses less digits than its factorization.

965737080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 965737080 is about 31076.3105918318. The cubic root of 965737080 is about 988.4460469630.

The spelling of 965737080 in words is "nine hundred sixty-five million, seven hundred thirty-seven thousand, eighty".