965168640 has 240 divisors, whose sum is σ = 3376243728. Its totient is φ = 254803968.

The previous prime is 965168639. The next prime is 965168653. The reversal of 965168640 is 46861569.

965168640 is a `hidden beast` number, since 96 + 516 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 3755392 + ... + 3755648.

Almost surely, 2^965168640 is an apocalyptic number.

965168640 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 965168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688121864).

965168640 is an abundant number, since it is smaller than the sum of its proper divisors (2411075088).

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

965168640 is a wasteful number, since it uses less digits than its factorization.

965168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 965168640 is about 31067.1633722810. The cubic root of 965168640 is about 988.2520733446.

The spelling of 965168640 in words is "nine hundred sixty-five million, one hundred sixty-eight thousand, six hundred forty".