1632816 has 120 divisors (see below), whose sum is σ = 5222880. Its totient is φ = 473088.

The previous prime is 1632809. The next prime is 1632817. The reversal of 1632816 is 6182361.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1632816.

It is not an unprimeable number, because it can be changed into a prime (1632817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56290 + ... + 56318.

It is an arithmetic number, because the mean of its divisors is an integer number (43524).

2^1632816 is an apocalyptic number.

1632816 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 1632816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611440).

1632816 is an abundant number, since it is smaller than the sum of its proper divisors (3590064).

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

1632816 is a wasteful number, since it uses less digits than its factorization.

1632816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

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

The square root of 1632816 is about 1277.8168882903. The cubic root of 1632816 is about 117.7549256192.

The spelling of 1632816 in words is "one million, six hundred thirty-two thousand, eight hundred sixteen".