26494400 has 84 divisors (see below), whose sum is σ = 67558920. Its totient is φ = 10214400.

The previous prime is 26494399. The next prime is 26494409. The reversal of 26494400 is 449462.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26494409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46115 + ... + 46685.

Almost surely, 2^26494400 is an apocalyptic number.

26494400 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 26494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33779460).

26494400 is an abundant number, since it is smaller than the sum of its proper divisors (41064520).

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

26494400 is a wasteful number, since it uses less digits than its factorization.

26494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 26494400 is about 5147.2711216721. The cubic root of 26494400 is about 298.1155955907.

The spelling of 26494400 in words is "twenty-six million, four hundred ninety-four thousand, four hundred".