26789040 has 120 divisors (see below), whose sum is σ = 93141360. Its totient is φ = 6892032.

The previous prime is 26789027. The next prime is 26789041. The reversal of 26789040 is 4098762.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26788986 and 26789004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26789041) 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, 20239 + ... + 21521.

It is an arithmetic number, because the mean of its divisors is an integer number (776178).

Almost surely, 2^26789040 is an apocalyptic number.

26789040 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 26789040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46570680).

26789040 is an abundant number, since it is smaller than the sum of its proper divisors (66352320).

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

26789040 is a wasteful number, since it uses less digits than its factorization.

26789040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26789040 is about 5175.8129796197. The cubic root of 26789040 is about 299.2166228480.

The spelling of 26789040 in words is "twenty-six million, seven hundred eighty-nine thousand, forty".