965973840 has 160 divisors (see below), whose sum is σ = 3273707136. Its totient is φ = 234178560.

The previous prime is 965973839. The next prime is 965973863. The reversal of 965973840 is 48379569.

965973840 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, 206730 + ... + 211350.

Almost surely, 2^965973840 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 965973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636853568).

965973840 is an abundant number, since it is smaller than the sum of its proper divisors (2307733296).

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

965973840 is a wasteful number, since it uses less digits than its factorization.

965973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 965973840 is about 31080.1196908892. The cubic root of 965973840 is about 988.5268161389.

The spelling of 965973840 in words is "nine hundred sixty-five million, nine hundred seventy-three thousand, eight hundred forty".