26900400 has 120 divisors (see below), whose sum is σ = 89257680. Its totient is φ = 6917120.

The previous prime is 26900399. The next prime is 26900479. The reversal of 26900400 is 400962.

It is a tau number, because it is divible by the number of its divisors (120).

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, 34414 + ... + 35186.

It is an arithmetic number, because the mean of its divisors is an integer number (743814).

Almost surely, 2^26900400 is an apocalyptic number.

26900400 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 26900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44628840).

26900400 is an abundant number, since it is smaller than the sum of its proper divisors (62357280).

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

26900400 is a wasteful number, since it uses less digits than its factorization.

26900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 26900400 is about 5186.5595533070. The cubic root of 26900400 is about 299.6306565825.

The spelling of 26900400 in words is "twenty-six million, nine hundred thousand, four hundred".