20270800 has 120 divisors (see below), whose sum is σ = 56460672. Its totient is φ = 6912000.

The previous prime is 20270791. The next prime is 20270821. The reversal of 20270800 is 807202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74665 + ... + 74935.

Almost surely, 2^20270800 is an apocalyptic number.

20270800 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 20270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28230336).

20270800 is an abundant number, since it is smaller than the sum of its proper divisors (36189872).

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

20270800 is a wasteful number, since it uses less digits than its factorization.

20270800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 20270800 is about 4502.3105179452. The cubic root of 20270800 is about 272.6613807145.

The spelling of 20270800 in words is "twenty million, two hundred seventy thousand, eight hundred".