1880632000 has 224 divisors, whose sum is σ = 5092476480. Its totient is φ = 687897600.

The previous prime is 1880631997. The next prime is 1880632001. The reversal of 1880632000 is 2360881.

It is a self number, because there is not a number n which added to its sum of digits gives 1880632000.

It is not an unprimeable number, because it can be changed into a prime (1880632001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17575947 + ... + 17576053.

It is an arithmetic number, because the mean of its divisors is an integer number (22734270).

Almost surely, 2^1880632000 is an apocalyptic number.

1880632000 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 1880632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546238240).

1880632000 is an abundant number, since it is smaller than the sum of its proper divisors (3211844480).

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

1880632000 is an equidigital number, since it uses as much as digits as its factorization.

1880632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1880632000 is about 43366.2541615021. The cubic root of 1880632000 is about 1234.3394436161.

Adding to 1880632000 its reverse (2360881), we get a palindrome (1882992881).

The spelling of 1880632000 in words is "one billion, eight hundred eighty million, six hundred thirty-two thousand".