1964680144 has 40 divisors (see below), whose sum is σ = 4362915200. Its totient is φ = 839576448.

The previous prime is 1964680129. The next prime is 1964680169. The reversal of 1964680144 is 4410864691.

It is a self number, because there is not a number n which added to its sum of digits gives 1964680144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13957 + ... + 64219.

It is an arithmetic number, because the mean of its divisors is an integer number (109072880).

Almost surely, 2^1964680144 is an apocalyptic number.

1964680144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1964680144 is an abundant number, since it is smaller than the sum of its proper divisors (2398235056).

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

1964680144 is a wasteful number, since it uses less digits than its factorization.

1964680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50627 (or 50621 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1964680144 is about 44324.7125653399. The cubic root of 1964680144 is about 1252.4602519381.

The spelling of 1964680144 in words is "one billion, nine hundred sixty-four million, six hundred eighty thousand, one hundred forty-four".