1616832 has 84 divisors (see below), whose sum is σ = 5309616. Its totient is φ = 460800.

The previous prime is 1616827. The next prime is 1616833. The reversal of 1616832 is 2386161.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×1616832³ = 12679903339961647104, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1616796 and 1616805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3832 + ... + 4232.

2^1616832 is an apocalyptic number.

1616832 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 1616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654808).

1616832 is an abundant number, since it is smaller than the sum of its proper divisors (3692784).

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

1616832 is a wasteful number, since it uses less digits than its factorization.

1616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1616832 is about 1271.5470891792. The cubic root of 1616832 is about 117.3694218650.

The spelling of 1616832 in words is "one million, six hundred sixteen thousand, eight hundred thirty-two".