965462064 has 80 divisors (see below), whose sum is σ = 2855174400. Its totient is φ = 275385600.

The previous prime is 965462063. The next prime is 965462089. The reversal of 965462064 is 460264569.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (965462063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 233487 + ... + 237585.

It is an arithmetic number, because the mean of its divisors is an integer number (35689680).

Almost surely, 2^965462064 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 965462064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427587200).

965462064 is an abundant number, since it is smaller than the sum of its proper divisors (1889712336).

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

965462064 is a wasteful number, since it uses less digits than its factorization.

965462064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 965462064 is about 31071.8854271832. The cubic root of 965462064 is about 988.3522104203.

The spelling of 965462064 in words is "nine hundred sixty-five million, four hundred sixty-two thousand, sixty-four".