1881364320 has 576 divisors, whose sum is σ = 7489407744. Its totient is φ = 442091520.

The previous prime is 1881364291. The next prime is 1881364343. The reversal of 1881364320 is 234631881.

1881364320 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 3 + 643 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22666999 + ... + 22667081.

It is an arithmetic number, because the mean of its divisors is an integer number (13002444).

Almost surely, 2^1881364320 is an apocalyptic number.

1881364320 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 1881364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744703872).

1881364320 is an abundant number, since it is smaller than the sum of its proper divisors (5608043424).

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

1881364320 is a wasteful number, since it uses less digits than its factorization.

1881364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1881364320 is about 43374.6967712744. The cubic root of 1881364320 is about 1234.4996404996.

The spelling of 1881364320 in words is "one billion, eight hundred eighty-one million, three hundred sixty-four thousand, three hundred twenty".