1896195840 has 576 divisors, whose sum is σ = 7756342272. Its totient is φ = 386580480.

The previous prime is 1896195773. The next prime is 1896195853. The reversal of 1896195840 is 485916981.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35777254 + ... + 35777306.

It is an arithmetic number, because the mean of its divisors is an integer number (13465872).

Almost surely, 2^1896195840 is an apocalyptic number.

1896195840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1896195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878171136).

1896195840 is an abundant number, since it is smaller than the sum of its proper divisors (5860146432).

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

1896195840 is an equidigital number, since it uses as much as digits as its factorization.

1896195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 1896195840 is about 43545.3308633658. The cubic root of 1896195840 is about 1237.7351651847.

The spelling of 1896195840 in words is "one billion, eight hundred ninety-six million, one hundred ninety-five thousand, eight hundred forty".