26400000 has 216 divisors, whose sum is σ = 95806368. Its totient is φ = 6400000.

The previous prime is 26399959. The next prime is 26400013. The reversal of 26400000 is 462.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399995 + ... + 2400005.

It is an arithmetic number, because the mean of its divisors is an integer number (443548).

Almost surely, 2^26400000 is an apocalyptic number.

26400000 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 26400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47903184).

26400000 is an abundant number, since it is smaller than the sum of its proper divisors (69406368).

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

26400000 is an frugal number, since it uses more digits than its factorization.

26400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 26400000 is about 5138.0930314661. The cubic root of 26400000 is about 297.7611105908.

Adding to 26400000 its reverse (462), we get a palindrome (26400462).

The spelling of 26400000 in words is "twenty-six million, four hundred thousand".