20014800 has 120 divisors (see below), whose sum is σ = 69099744. Its totient is φ = 4922880.

The previous prime is 20014793. The next prime is 20014811. The reversal of 20014800 is 841002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20014800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14959 + ... + 16241.

Almost surely, 2^20014800 is an apocalyptic number.

20014800 is a gapful number since it is divisible by the number (20) 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 20014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34549872).

20014800 is an abundant number, since it is smaller than the sum of its proper divisors (49084944).

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

20014800 is a wasteful number, since it uses less digits than its factorization.

20014800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20014800 is about 4473.7903392984. The cubic root of 20014800 is about 271.5087007851.

Adding to 20014800 its reverse (841002), we get a palindrome (20855802).

The spelling of 20014800 in words is "twenty million, fourteen thousand, eight hundred".