26801900 has 72 divisors (see below), whose sum is σ = 62329344. Its totient is φ = 9979200.

The previous prime is 26801899. The next prime is 26801903. The reversal of 26801900 is 910862.

It is a super-2 number, since 2×26801900² = 1436683687220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26801900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26801903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98765 + ... + 99035.

Almost surely, 2^26801900 is an apocalyptic number.

26801900 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 26801900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31164672).

26801900 is an abundant number, since it is smaller than the sum of its proper divisors (35527444).

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

26801900 is a wasteful number, since it uses less digits than its factorization.

26801900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 26801900 is about 5177.0551474753. The cubic root of 26801900 is about 299.2644945424.

The spelling of 26801900 in words is "twenty-six million, eight hundred one thousand, nine hundred".