26166400 has 192 divisors, whose sum is σ = 75698280. Its totient is φ = 8847360.

The previous prime is 26166391. The next prime is 26166407. The reversal of 26166400 is 466162.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4562496 + 21603904 = 2136^2 + 4648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (26166407) 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, 707182 + ... + 707218.

Almost surely, 2^26166400 is an apocalyptic number.

26166400 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 26166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37849140).

26166400 is an abundant number, since it is smaller than the sum of its proper divisors (49531880).

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

26166400 is a wasteful number, since it uses less digits than its factorization.

26166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 26166400 is about 5115.3103522660. The cubic root of 26166400 is about 296.8802625106.

It can be divided in two parts, 26 and 166400, that multiplied together give a square (4326400 = 2080²).

The spelling of 26166400 in words is "twenty-six million, one hundred sixty-six thousand, four hundred".