1896842016 has 192 divisors, whose sum is σ = 5885187840. Its totient is φ = 593049600.

The previous prime is 1896842011. The next prime is 1896842033. The reversal of 1896842016 is 6102486981.

It is not an unprimeable number, because it can be changed into a prime (1896842011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052316 + ... + 1054116.

It is an arithmetic number, because the mean of its divisors is an integer number (30652020).

Almost surely, 2^1896842016 is an apocalyptic number.

1896842016 is a gapful number since it is divisible by the number (16) 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 1896842016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942593920).

1896842016 is an abundant number, since it is smaller than the sum of its proper divisors (3988345824).

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

1896842016 is a wasteful number, since it uses less digits than its factorization.

1896842016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1896842016 is about 43552.7498098570. The cubic root of 1896842016 is about 1237.8757455876.

The spelling of 1896842016 in words is "one billion, eight hundred ninety-six million, eight hundred forty-two thousand, sixteen".