20148800 has 126 divisors (see below), whose sum is σ = 57897522. Its totient is φ = 6881280.

The previous prime is 20148787. The next prime is 20148809. The reversal of 20148800 is 884102.

It can be written as a sum of positive squares in 3 ways, for example, as 6071296 + 14077504 = 2464^2 + 3752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20148809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78272 + ... + 78528.

Almost surely, 2^20148800 is an apocalyptic number.

20148800 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 20148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28948761).

20148800 is an abundant number, since it is smaller than the sum of its proper divisors (37748722).

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

20148800 is a wasteful number, since it uses less digits than its factorization.

20148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 20148800 is about 4488.7414717268. The cubic root of 20148800 is about 272.1132746195.

The spelling of 20148800 in words is "twenty million, one hundred forty-eight thousand, eight hundred".