1985068800 has 648 divisors, whose sum is σ = 8372412048. Its totient is φ = 442368000.

The previous prime is 1985068783. The next prime is 1985068817. The reversal of 1985068800 is 88605891.

It is an interprime number because it is at equal distance from previous prime (1985068783) and next prime (1985068817).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8236680 + ... + 8236920.

Almost surely, 2^1985068800 is an apocalyptic number.

1985068800 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 1985068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186206024).

1985068800 is an abundant number, since it is smaller than the sum of its proper divisors (6387343248).

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

1985068800 is a wasteful number, since it uses less digits than its factorization.

1985068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

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

The square root of 1985068800 is about 44554.1109214402. The cubic root of 1985068800 is about 1256.7778594051. Note that the first 3 decimals are identical.

It can be divided in two parts, 198 and 5068800, that multiplied together give a square (1003622400 = 31680²).

The spelling of 1985068800 in words is "one billion, nine hundred eighty-five million, sixty-eight thousand, eight hundred".