1868832900 has 243 divisors, whose sum is σ = 6488212549. Its totient is φ = 449592000.

The previous prime is 1868832887. The next prime is 1868832929. The reversal of 1868832900 is 92388681.

The square root of 1868832900 is 43230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 672779844 + 1196053056 = 25938^2 + 34584^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14265835 + ... + 14265965.

Almost surely, 2^1868832900 is an apocalyptic number.

1868832900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1868832900 is the 43230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1868832900

1868832900 is an abundant number, since it is smaller than the sum of its proper divisors (4619379649).

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

1868832900 is a wasteful number, since it uses less digits than its factorization.

1868832900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

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

The cubic root of 1868832900 is about 1231.7526076385.

The spelling of 1868832900 in words is "one billion, eight hundred sixty-eight million, eight hundred thirty-two thousand, nine hundred".