1880985600 has 468 divisors, whose sum is σ = 7301752276. Its totient is φ = 460062720.

The previous prime is 1880985571. The next prime is 1880985647. The reversal of 1880985600 is 65890881.

1880985600 is a `hidden beast` number, since 1 + 8 + 80 + 9 + 8 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 346853376 + 1534132224 = 18624^2 + 39168^2 .

It is a tau number, because it is divible by the number of its divisors (468).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11980722 + ... + 11980878.

Almost surely, 2^1880985600 is an apocalyptic number.

1880985600 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 1880985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650876138).

1880985600 is an abundant number, since it is smaller than the sum of its proper divisors (5420766676).

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

1880985600 is a wasteful number, since it uses less digits than its factorization.

1880985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1880985600 is about 43370.3308726138. The cubic root of 1880985600 is about 1234.4167997168.

The spelling of 1880985600 in words is "one billion, eight hundred eighty million, nine hundred eighty-five thousand, six hundred".