26872840 has 48 divisors (see below), whose sum is σ = 63847980. Its totient is φ = 10177920.

The previous prime is 26872837. The next prime is 26872847. The reversal of 26872840 is 4827862.

It can be written as a sum of positive squares in 2 ways, for example, as 21846276 + 5026564 = 4674^2 + 2242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26872840.

It is not an unprimeable number, because it can be changed into a prime (26872847) 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, 13510 + ... + 15370.

Almost surely, 2^26872840 is an apocalyptic number.

26872840 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 26872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31923990).

26872840 is an abundant number, since it is smaller than the sum of its proper divisors (36975140).

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

26872840 is a wasteful number, since it uses less digits than its factorization.

26872840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 26872840 is about 5183.9020052466. The cubic root of 26872840 is about 299.5282957427.

The spelling of 26872840 in words is "twenty-six million, eight hundred seventy-two thousand, eight hundred forty".