965424960 has 224 divisors, whose sum is σ = 3585667200. Its totient is φ = 243855360.

The previous prime is 965424953. The next prime is 965425003. The reversal of 965424960 is 69424569.

965424960 is a `hidden beast` number, since 9 + 6 + 542 + 49 + 60 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161220 + ... + 167100.

Almost surely, 2^965424960 is an apocalyptic number.

965424960 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 965424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792833600).

965424960 is an abundant number, since it is smaller than the sum of its proper divisors (2620242240).

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

965424960 is a wasteful number, since it uses less digits than its factorization.

965424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 965424960 is about 31071.2883543634. The cubic root of 965424960 is about 988.3395490251.

The spelling of 965424960 in words is "nine hundred sixty-five million, four hundred twenty-four thousand, nine hundred sixty".