965620384 has 48 divisors (see below), whose sum is σ = 1950268320. Its totient is φ = 470373120.

The previous prime is 965620367. The next prime is 965620393. The reversal of 965620384 is 483026569.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 965620384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785082 + ... + 786310.

It is an arithmetic number, because the mean of its divisors is an integer number (40630590).

Almost surely, 2^965620384 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 965620384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975134160).

965620384 is an abundant number, since it is smaller than the sum of its proper divisors (984647936).

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

965620384 is a wasteful number, since it uses less digits than its factorization.

965620384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 965620384 is about 31074.4329634508. The cubic root of 965620384 is about 988.4062320042.

The spelling of 965620384 in words is "nine hundred sixty-five million, six hundred twenty thousand, three hundred eighty-four".