1842032016 has 200 divisors, whose sum is σ = 5860202304. Its totient is φ = 553962240.

The previous prime is 1842032011. The next prime is 1842032029. The reversal of 1842032016 is 6102302481.

1842032016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1842032011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2237781 + ... + 2238603.

Almost surely, 2^1842032016 is an apocalyptic number.

1842032016 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 1842032016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930101152).

1842032016 is an abundant number, since it is smaller than the sum of its proper divisors (4018170288).

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

1842032016 is a wasteful number, since it uses less digits than its factorization.

1842032016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1842032016 is about 42918.9004518988. The cubic root of 1842032016 is about 1225.8360564489.

Adding to 1842032016 its reverse (6102302481), we get a palindrome (7944334497).

The spelling of 1842032016 in words is "one billion, eight hundred forty-two million, thirty-two thousand, sixteen".