1984416 has 48 divisors (see below), whose sum is σ = 5955264. Its totient is φ = 566784.

The previous prime is 1984399. The next prime is 1984429. The reversal of 1984416 is 6144891.

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

It is a super-3 number, since 3×1984416³ = 23443336144767909888, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 805 + ... + 2148.

It is an arithmetic number, because the mean of its divisors is an integer number (124068).

2^1984416 is an apocalyptic number.

1984416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1984416 is an abundant number, since it is smaller than the sum of its proper divisors (3970848).

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

1984416 is a wasteful number, since it uses less digits than its factorization.

1984416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2965 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1984416 is about 1408.6930112697. The cubic root of 1984416 is about 125.6640078364.

The spelling of 1984416 in words is "one million, nine hundred eighty-four thousand, four hundred sixteen".