1841628960 has 384 divisors, whose sum is σ = 6893510400. Its totient is φ = 463574016.

The previous prime is 1841628949. The next prime is 1841629003. The reversal of 1841628960 is 698261481.

1841628960 is a `hidden beast` number, since 18 + 4 + 1 + 628 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 6648342 + ... + 6648618.

It is an arithmetic number, because the mean of its divisors is an integer number (17951850).

Almost surely, 2^1841628960 is an apocalyptic number.

1841628960 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 1841628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446755200).

1841628960 is an abundant number, since it is smaller than the sum of its proper divisors (5051881440).

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

1841628960 is an equidigital number, since it uses as much as digits as its factorization.

1841628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1841628960 is about 42914.2046413539. The cubic root of 1841628960 is about 1225.7466413149.

The spelling of 1841628960 in words is "one billion, eight hundred forty-one million, six hundred twenty-eight thousand, nine hundred sixty".