1842085644 has 96 divisors (see below), whose sum is σ = 5191065600. Its totient is φ = 496653120.

The previous prime is 1842085631. The next prime is 1842085667. The reversal of 1842085644 is 4465802481.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1842085596 and 1842085605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430387 + ... + 434645.

It is an arithmetic number, because the mean of its divisors is an integer number (54073600).

Almost surely, 2^1842085644 is an apocalyptic number.

1842085644 is a gapful number since it is divisible by the number (14) 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 1842085644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595532800).

1842085644 is an abundant number, since it is smaller than the sum of its proper divisors (3348979956).

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

1842085644 is a wasteful number, since it uses less digits than its factorization.

1842085644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 1842085644 is about 42919.5252070663. The cubic root of 1842085644 is about 1225.8479524597.

The spelling of 1842085644 in words is "one billion, eight hundred forty-two million, eighty-five thousand, six hundred forty-four".