1842016032 has 192 divisors, whose sum is σ = 5610931200. Its totient is φ = 587243520.

The previous prime is 1842016013. The next prime is 1842016037. The reversal of 1842016032 is 2306102481.

1842016032 is a `hidden beast` number, since 18 + 42 + 0 + 1 + 603 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1842015987 and 1842016005.

It is not an unprimeable number, because it can be changed into a prime (1842016037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2597694 + ... + 2598402.

It is an arithmetic number, because the mean of its divisors is an integer number (29223600).

Almost surely, 2^1842016032 is an apocalyptic number.

1842016032 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 1842016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805465600).

1842016032 is an abundant number, since it is smaller than the sum of its proper divisors (3768915168).

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

1842016032 is a wasteful number, since it uses less digits than its factorization.

1842016032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

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

The square root of 1842016032 is about 42918.7142398278. The cubic root of 1842016032 is about 1225.8325107595.

The spelling of 1842016032 in words is "one billion, eight hundred forty-two million, sixteen thousand, thirty-two".