20266400 has 216 divisors, whose sum is σ = 64120896. Its totient is φ = 6182400.

The previous prime is 20266391. The next prime is 20266403. The reversal of 20266400 is 466202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20266403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431177 + ... + 431223.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^20266400 is an apocalyptic number.

20266400 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 20266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448).

20266400 is an abundant number, since it is smaller than the sum of its proper divisors (43854496).

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

20266400 is a wasteful number, since it uses less digits than its factorization.

20266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 20266400 is about 4501.8218534278. The cubic root of 20266400 is about 272.6416512368.

The spelling of 20266400 in words is "twenty million, two hundred sixty-six thousand, four hundred".