19945800 has 144 divisors (see below), whose sum is σ = 76602240. Its totient is φ = 4556160.

The previous prime is 19945799. The next prime is 19945829. The reversal of 19945800 is 854991.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11809 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (531960).

Almost surely, 2^19945800 is an apocalyptic number.

19945800 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 19945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

19945800 is an abundant number, since it is smaller than the sum of its proper divisors (56656440).

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

19945800 is a wasteful number, since it uses less digits than its factorization.

19945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 19945800 is about 4466.0720997315. The cubic root of 19945800 is about 271.1963374345.

The spelling of 19945800 in words is "nineteen million, nine hundred forty-five thousand, eight hundred".