20268600 has 192 divisors, whose sum is σ = 71245440. Its totient is φ = 4723200.

The previous prime is 20268571. The next prime is 20268601. The reversal of 20268600 is 686202.

It is a super-2 number, since 2×20268600² = 821632291920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20268601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244159 + ... + 244241.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^20268600 is an apocalyptic number.

20268600 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 20268600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

20268600 is an abundant number, since it is smaller than the sum of its proper divisors (50976840).

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

20268600 is a wasteful number, since it uses less digits than its factorization.

20268600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20268600 is about 4502.0661923166. The cubic root of 20268600 is about 272.6515163326.

The spelling of 20268600 in words is "twenty million, two hundred sixty-eight thousand, six hundred".