20256000 has 144 divisors (see below), whose sum is σ = 67599168. Its totient is φ = 5376000.

The previous prime is 20255999. The next prime is 20256029. The reversal of 20256000 is 65202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95895 + ... + 96105.

Almost surely, 2^20256000 is an apocalyptic number.

20256000 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 20256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799584).

20256000 is an abundant number, since it is smaller than the sum of its proper divisors (47343168).

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

20256000 is an equidigital number, since it uses as much as digits as its factorization.

20256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20256000 is about 4500.6666172913. Note that the first 4 decimals coincide. The cubic root of 20256000 is about 272.5950065715.

The spelling of 20256000 in words is "twenty million, two hundred fifty-six thousand".