26042400 has 108 divisors (see below), whose sum is σ = 91857402. Its totient is φ = 6942720.

The previous prime is 26042381. The next prime is 26042411. The reversal of 26042400 is 424062.

26042400 is a `hidden beast` number, since 260 + 4 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10265616 + 15776784 = 3204^2 + 3972^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5392 + ... + 9008.

Almost surely, 2^26042400 is an apocalyptic number.

26042400 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 26042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45928701).

26042400 is an abundant number, since it is smaller than the sum of its proper divisors (65815002).

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

26042400 is a wasteful number, since it uses less digits than its factorization.

26042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 26042400 is about 5103.1754819916. The cubic root of 26042400 is about 296.4105576290.

Adding to 26042400 its reverse (424062), we get a palindrome (26466462).

The spelling of 26042400 in words is "twenty-six million, forty-two thousand, four hundred".