26942400 has 126 divisors (see below), whose sum is σ = 95810832. Its totient is φ = 7180800.

The previous prime is 26942389. The next prime is 26942417. The reversal of 26942400 is 424962.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 13465 + ... + 15335.

Almost surely, 2^26942400 is an apocalyptic number.

26942400 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 26942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47905416).

26942400 is an abundant number, since it is smaller than the sum of its proper divisors (68868432).

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

26942400 is a wasteful number, since it uses less digits than its factorization.

26942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26942400 is about 5190.6069009317. The cubic root of 26942400 is about 299.7865147829.

The spelling of 26942400 in words is "twenty-six million, nine hundred forty-two thousand, four hundred".