1842124032 has 450 divisors, whose sum is σ = 6581167978. Its totient is φ = 512096256.

The previous prime is 1842124001. The next prime is 1842124033. The reversal of 1842124032 is 2304212481.

It can be written as a sum of positive squares in only one way, i.e., 1792336896 + 49787136 = 42336^2 + 7056^2 .

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 = 1842123987 and 1842124005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842124033) by changing a digit.

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 49 ways as a sum of consecutive naturals, for example, 49787118 + ... + 49787154.

Almost surely, 2^1842124032 is an apocalyptic number.

1842124032 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 1842124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290583989).

1842124032 is an abundant number, since it is smaller than the sum of its proper divisors (4739043946).

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

1842124032 is an frugal number, since it uses more digits than its factorization.

1842124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1842124032 is about 42919.9724137842. The cubic root of 1842124032 is about 1225.8564677214.

The spelling of 1842124032 in words is "one billion, eight hundred forty-two million, one hundred twenty-four thousand, thirty-two".