1896146640 has 60 divisors (see below), whose sum is σ = 6367894884. Its totient is φ = 505638912.

The previous prime is 1896146633. The next prime is 1896146687. The reversal of 1896146640 is 466416981.

1896146640 is a `hidden beast` number, since 189 + 6 + 1 + 466 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 1703047824 = 13896^2 + 41268^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1316049 + ... + 1317488.

Almost surely, 2^1896146640 is an apocalyptic number.

1896146640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1896146640 is an abundant number, since it is smaller than the sum of its proper divisors (4471748244).

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

1896146640 is a wasteful number, since it uses less digits than its factorization.

1896146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633556 (or 2633547 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1896146640 is about 43544.7659311656. The cubic root of 1896146640 is about 1237.7244600498.

The spelling of 1896146640 in words is "one billion, eight hundred ninety-six million, one hundred forty-six thousand, six hundred forty".