26880140 has 48 divisors (see below), whose sum is σ = 65185344. Its totient is φ = 9120000.

The previous prime is 26880109. The next prime is 26880143. The reversal of 26880140 is 4108862.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26880143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13190 + ... + 15090.

It is an arithmetic number, because the mean of its divisors is an integer number (1358028).

Almost surely, 2^26880140 is an apocalyptic number.

26880140 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 26880140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32592672).

26880140 is an abundant number, since it is smaller than the sum of its proper divisors (38305204).

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

26880140 is a wasteful number, since it uses less digits than its factorization.

26880140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 26880140 is about 5184.6060602518. The cubic root of 26880140 is about 299.5554155484. Note that the first 3 decimals are identical.

It can be divided in two parts, 268 and 80140, that added together give a palindrome (80408).

The spelling of 26880140 in words is "twenty-six million, eight hundred eighty thousand, one hundred forty".