1842325920 has 288 divisors, whose sum is σ = 6568445520. Its totient is φ = 469647360.

The previous prime is 1842325907. The next prime is 1842325931. The reversal of 1842325920 is 295232481.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 782432784 + 1059893136 = 27972^2 + 32556^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1842325920³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6556180 + ... + 6556460.

Almost surely, 2^1842325920 is an apocalyptic number.

1842325920 is a gapful number since it is divisible by the number (10) 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 1842325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284222760).

1842325920 is an abundant number, since it is smaller than the sum of its proper divisors (4726119600).

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

1842325920 is a wasteful number, since it uses less digits than its factorization.

1842325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1842325920 is about 42922.3242613911. The cubic root of 1842325920 is about 1225.9012487578.

The spelling of 1842325920 in words is "one billion, eight hundred forty-two million, three hundred twenty-five thousand, nine hundred twenty".