20268144 has 120 divisors (see below), whose sum is σ = 63506352. Its totient is φ = 6220800.

The previous prime is 20268137. The next prime is 20268163. The reversal of 20268144 is 44186202.

It is a super-2 number, since 2×20268144² = 821595322409472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 50344 + ... + 50744.

Almost surely, 2^20268144 is an apocalyptic number.

20268144 is a gapful number since it is divisible by the number (24) 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 20268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31753176).

20268144 is an abundant number, since it is smaller than the sum of its proper divisors (43238208).

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

20268144 is a wasteful number, since it uses less digits than its factorization.

20268144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20268144 is about 4502.0155486182. The cubic root of 20268144 is about 272.6494716259.

The spelling of 20268144 in words is "twenty million, two hundred sixty-eight thousand, one hundred forty-four".