26690400 has 216 divisors, whose sum is σ = 102977784. Its totient is φ = 6451200.

The previous prime is 26690381. The next prime is 26690413. The reversal of 26690400 is 409662.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 79032 + ... + 79368.

It is an arithmetic number, because the mean of its divisors is an integer number (476749).

Almost surely, 2^26690400 is an apocalyptic number.

26690400 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 26690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51488892).

26690400 is an abundant number, since it is smaller than the sum of its proper divisors (76287384).

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

26690400 is a wasteful number, since it uses less digits than its factorization.

26690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 26690400 is about 5166.2752539910. The cubic root of 26690400 is about 298.8489223831.

The spelling of 26690400 in words is "twenty-six million, six hundred ninety thousand, four hundred".