965098464 has 192 divisors, whose sum is σ = 2943682560. Its totient is φ = 273784320.

The previous prime is 965098457. The next prime is 965098481. The reversal of 965098464 is 464890569.

965098464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066359 + ... + 2066825.

It is an arithmetic number, because the mean of its divisors is an integer number (15331680).

Almost surely, 2^965098464 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 965098464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471841280).

965098464 is an abundant number, since it is smaller than the sum of its proper divisors (1978584096).

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

965098464 is a wasteful number, since it uses less digits than its factorization.

965098464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 965098464 is about 31066.0339277482. The cubic root of 965098464 is about 988.2281213098.

The spelling of 965098464 in words is "nine hundred sixty-five million, ninety-eight thousand, four hundred sixty-four".