1984896 has 48 divisors (see below), whose sum is σ = 5715060. Its totient is φ = 661248.

The previous prime is 1984891. The next prime is 1984897. The reversal of 1984896 is 6984891.

1984896 is nontrivially palindromic in base 11.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (124416) is a multiple of the sum of its prime divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291 + ... + 2013.

2^1984896 is an apocalyptic number.

1984896 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 1984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857530).

1984896 is an abundant number, since it is smaller than the sum of its proper divisors (3730164).

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

1984896 is a wasteful number, since it uses less digits than its factorization.

1984896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1728 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1984896 is about 1408.8633716582. The cubic root of 1984896 is about 125.6741390893.

The spelling of 1984896 in words is "one million, nine hundred eighty-four thousand, eight hundred ninety-six".