1896672 has 48 divisors (see below), whose sum is σ = 5201280. Its totient is φ = 604032.

The previous prime is 1896667. The next prime is 1896677. The reversal of 1896672 is 2766981.

It is an interprime number because it is at equal distance from previous prime (1896667) and next prime (1896677).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1896672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1896677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1779 + ... + 2637.

It is an arithmetic number, because the mean of its divisors is an integer number (108360).

2^1896672 is an apocalyptic number.

1896672 is a gapful number since it is divisible by the number (12) 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 1896672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600640).

1896672 is an abundant number, since it is smaller than the sum of its proper divisors (3304608).

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

1896672 is a wasteful number, since it uses less digits than its factorization.

1896672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 887 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 1896672 is about 1377.1971536421. The cubic root of 1896672 is about 123.7838760436.

The spelling of 1896672 in words is "one million, eight hundred ninety-six thousand, six hundred seventy-two".