26606400 has 168 divisors, whose sum is σ = 91464384. Its totient is φ = 6758400.

The previous prime is 26606387. The next prime is 26606413. The reversal of 26606400 is 460662.

It is an interprime number because it is at equal distance from previous prime (26606387) and next prime (26606413).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110280 + ... + 110520.

Almost surely, 2^26606400 is an apocalyptic number.

26606400 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 26606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45732192).

26606400 is an abundant number, since it is smaller than the sum of its proper divisors (64857984).

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

26606400 is a wasteful number, since it uses less digits than its factorization.

26606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 26606400 is about 5158.1391993625. The cubic root of 26606400 is about 298.5350805691.

The spelling of 26606400 in words is "twenty-six million, six hundred six thousand, four hundred".