1611984 has 80 divisors (see below), whose sum is σ = 4713984. Its totient is φ = 470400.

The previous prime is 1611971. The next prime is 1612007. The reversal of 1611984 is 4891161.

1611984 is nontrivially palindromic in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22669 + ... + 22739.

2^1611984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356992).

1611984 is an abundant number, since it is smaller than the sum of its proper divisors (3102000).

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

1611984 is a wasteful number, since it uses less digits than its factorization.

1611984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 1611984 is about 1269.6393188619. The cubic root of 1611984 is about 117.2519953955.

It can be divided in two parts, 161 and 1984, that added together give a triangular number (2145 = T₆₅).

The spelling of 1611984 in words is "one million, six hundred eleven thousand, nine hundred eighty-four".