26364400 has 60 divisors (see below), whose sum is σ = 66693400. Its totient is φ = 9987840.

The previous prime is 26364397. The next prime is 26364409. The reversal of 26364400 is 446362.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26364409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5866 + ... + 9334.

Almost surely, 2^26364400 is an apocalyptic number.

26364400 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 26364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33346700).

26364400 is an abundant number, since it is smaller than the sum of its proper divisors (40329000).

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

26364400 is a wasteful number, since it uses less digits than its factorization.

26364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 26364400 is about 5134.6275424806. The cubic root of 26364400 is about 297.6272082689.

The spelling of 26364400 in words is "twenty-six million, three hundred sixty-four thousand, four hundred".