1842107904 has 480 divisors, whose sum is σ = 6863560704. Its totient is φ = 462274560.

The previous prime is 1842107899. The next prime is 1842107923. The reversal of 1842107904 is 4097012481.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9644449 + ... + 9644639.

Almost surely, 2^1842107904 is an apocalyptic number.

1842107904 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 1842107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431780352).

1842107904 is an abundant number, since it is smaller than the sum of its proper divisors (5021452800).

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

1842107904 is a wasteful number, since it uses less digits than its factorization.

1842107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1842107904 is about 42919.7845288161. The cubic root of 1842107904 is about 1225.8528902079.

It can be divided in two parts, 1842 and 107904, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1842107904 in words is "one billion, eight hundred forty-two million, one hundred seven thousand, nine hundred four".