1842825600 has 768 divisors, whose sum is σ = 8438745600. Its totient is φ = 381542400.

The previous prime is 1842825581. The next prime is 1842825629. The reversal of 1842825600 is 65282481.

1842825600 is a `hidden beast` number, since 1 + 8 + 4 + 28 + 25 + 600 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652662 + ... + 6652938.

It is an arithmetic number, because the mean of its divisors is an integer number (10987950).

Almost surely, 2^1842825600 is an apocalyptic number.

1842825600 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 1842825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219372800).

1842825600 is an abundant number, since it is smaller than the sum of its proper divisors (6595920000).

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

1842825600 is a wasteful number, since it uses less digits than its factorization.

1842825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1842825600 is about 42928.1446139942. The cubic root of 1842825600 is about 1226.0120693529.

The spelling of 1842825600 in words is "one billion, eight hundred forty-two million, eight hundred twenty-five thousand, six hundred".