1895940864 has 144 divisors (see below), whose sum is σ = 5737916800. Its totient is φ = 617186304.

The previous prime is 1895940841. The next prime is 1895940883. The reversal of 1895940864 is 4680495981.

1895940864 is a `hidden beast` number, since 189 + 59 + 408 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1895940864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294027 + ... + 300405.

Almost surely, 2^1895940864 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 1895940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868958400).

1895940864 is an abundant number, since it is smaller than the sum of its proper divisors (3841975936).

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

1895940864 is an equidigital number, since it uses as much as digits as its factorization.

1895940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1895940864 is about 43542.4030572498. The cubic root of 1895940864 is about 1237.6796844688.

The spelling of 1895940864 in words is "one billion, eight hundred ninety-five million, nine hundred forty thousand, eight hundred sixty-four".