1868048800 has 144 divisors (see below), whose sum is σ = 4665638880. Its totient is φ = 730229760.

The previous prime is 1868048797. The next prime is 1868048803. The reversal of 1868048800 is 88408681.

It is an interprime number because it is at equal distance from previous prime (1868048797) and next prime (1868048803).

It is not an unprimeable number, because it can be changed into a prime (1868048803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11898322 + ... + 11898478.

It is an arithmetic number, because the mean of its divisors is an integer number (32400270).

Almost surely, 2^1868048800 is an apocalyptic number.

1868048800 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 1868048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332819440).

1868048800 is an abundant number, since it is smaller than the sum of its proper divisors (2797590080).

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

1868048800 is a wasteful number, since it uses less digits than its factorization.

1868048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The square root of 1868048800 is about 43220.9301149339. The cubic root of 1868048800 is about 1231.5803160930.

The spelling of 1868048800 in words is "one billion, eight hundred sixty-eight million, forty-eight thousand, eight hundred".