965256880 has 160 divisors (see below), whose sum is σ = 2709648000. Its totient is φ = 319269888.

The previous prime is 965256833. The next prime is 965256913. The reversal of 965256880 is 88652569.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795154 + ... + 796366.

It is an arithmetic number, because the mean of its divisors is an integer number (16935300).

Almost surely, 2^965256880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354824000).

965256880 is an abundant number, since it is smaller than the sum of its proper divisors (1744391120).

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

965256880 is a wasteful number, since it uses less digits than its factorization.

965256880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The square root of 965256880 is about 31068.5834887914. The cubic root of 965256880 is about 988.2821892234.

The spelling of 965256880 in words is "nine hundred sixty-five million, two hundred fifty-six thousand, eight hundred eighty".