26876400 has 60 divisors (see below), whose sum is σ = 86097912. Its totient is φ = 7166720.

The previous prime is 26876387. The next prime is 26876401. The reversal of 26876400 is 467862.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26876401) 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, 9999 + ... + 12398.

Almost surely, 2^26876400 is an apocalyptic number.

26876400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26876400 is an abundant number, since it is smaller than the sum of its proper divisors (59221512).

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

26876400 is a wasteful number, since it uses less digits than its factorization.

26876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22418 (or 22407 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 26876400 is about 5184.2453645637. The cubic root of 26876400 is about 299.5415219053.

The spelling of 26876400 in words is "twenty-six million, eight hundred seventy-six thousand, four hundred".