26822400 has 216 divisors, whose sum is σ = 97327104. Its totient is φ = 6451200.

The previous prime is 26822387. The next prime is 26822401. The reversal of 26822400 is 422862.

It is a super-2 number, since 2×26822400² = 1438882283520000, 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 (26822401) 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, 211137 + ... + 211263.

Almost surely, 2^26822400 is an apocalyptic number.

26822400 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 26822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48663552).

26822400 is an abundant number, since it is smaller than the sum of its proper divisors (70504704).

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

26822400 is a wasteful number, since it uses less digits than its factorization.

26822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 26822400 is about 5179.0346590846. The cubic root of 26822400 is about 299.3407746899.

The spelling of 26822400 in words is "twenty-six million, eight hundred twenty-two thousand, four hundred".