20271888 has 270 divisors, whose sum is σ = 75666474. Its totient is φ = 5031936.

The previous prime is 20271887. The next prime is 20271907. The reversal of 20271888 is 88817202.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 19820304 = 672^2 + 4452^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20271883) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1192456 + ... + 1192472.

Almost surely, 2^20271888 is an apocalyptic number.

20271888 is a gapful number since it is divisible by the number (28) 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 20271888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37833237).

20271888 is an abundant number, since it is smaller than the sum of its proper divisors (55394586).

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

20271888 is a wasteful number, since it uses less digits than its factorization.

20271888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 20271888 is about 4502.4313431745. The cubic root of 20271888 is about 272.6662588360. Note that the first 3 decimals are identical.

The spelling of 20271888 in words is "twenty million, two hundred seventy-one thousand, eight hundred eighty-eight".