965653920 has 384 divisors, whose sum is σ = 4215214080. Its totient is φ = 200586240.

The previous prime is 965653903. The next prime is 965653933. The reversal of 965653920 is 29356569.

965653920 is a `hidden beast` number, since 96 + 5 + 6 + 539 + 20 = 666.

965653920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×965653920² = 1864974986422732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331189 + ... + 334091.

It is an arithmetic number, because the mean of its divisors is an integer number (10977120).

Almost surely, 2^965653920 is an apocalyptic number.

965653920 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 965653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

965653920 is an abundant number, since it is smaller than the sum of its proper divisors (3249560160).

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

965653920 is a wasteful number, since it uses less digits than its factorization.

965653920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 965653920 is about 31074.9725663596. The cubic root of 965653920 is about 988.4176743226.

The spelling of 965653920 in words is "nine hundred sixty-five million, six hundred fifty-three thousand, nine hundred twenty".