844261542 has 80 divisors (see below), whose sum is σ = 2011426560. Its totient is φ = 263921328.

The previous prime is 844261513. The next prime is 844261577. The reversal of 844261542 is 245162448.

844261542 is a `hidden beast` number, since 84 + 426 + 154 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 844261497 and 844261506.

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 39 ways as a sum of consecutive naturals, for example, 315703 + ... + 318365.

It is an arithmetic number, because the mean of its divisors is an integer number (25142832).

Almost surely, 2^844261542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844261542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005713280).

844261542 is an abundant number, since it is smaller than the sum of its proper divisors (1167165018).

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

844261542 is a wasteful number, since it uses less digits than its factorization.

844261542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2790 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 844261542 is about 29056.1790674548. The cubic root of 844261542 is about 945.1317125559.

The spelling of 844261542 in words is "eight hundred forty-four million, two hundred sixty-one thousand, five hundred forty-two".