26222400 has 168 divisors, whose sum is σ = 95747840. Its totient is φ = 6981120.

The previous prime is 26222377. The next prime is 26222407. The reversal of 26222400 is 422262.

It is a happy number.

26222400 is a `hidden beast` number, since 2 + 622 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×26222400² = 1375228523520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26222407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42897 + ... + 43503.

Almost surely, 2^26222400 is an apocalyptic number.

26222400 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 26222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47873920).

26222400 is an abundant number, since it is smaller than the sum of its proper divisors (69525440).

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

26222400 is a wasteful number, since it uses less digits than its factorization.

26222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 26222400 is about 5120.7811904044. The cubic root of 26222400 is about 297.0919009550.

Adding to 26222400 its reverse (422262), we get a palindrome (26644662).

The spelling of 26222400 in words is "twenty-six million, two hundred twenty-two thousand, four hundred".