965381760 has 512 divisors, whose sum is σ = 4089139200. Its totient is φ = 210456576.

The previous prime is 965381749. The next prime is 965381779. The reversal of 965381760 is 67183569.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2781907 + ... + 2782253.

It is an arithmetic number, because the mean of its divisors is an integer number (7986600).

Almost surely, 2^965381760 is an apocalyptic number.

965381760 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 965381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044569600).

965381760 is an abundant number, since it is smaller than the sum of its proper divisors (3123757440).

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

965381760 is a wasteful number, since it uses less digits than its factorization.

965381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 965381760 is about 31070.5931710355. The cubic root of 965381760 is about 988.3248070179.

The spelling of 965381760 in words is "nine hundred sixty-five million, three hundred eighty-one thousand, seven hundred sixty".