26854080 has 112 divisors (see below), whose sum is σ = 93049344. Its totient is φ = 6507520.

The previous prime is 26854073. The next prime is 26854081. The reversal of 26854080 is 8045862.

It is a super-2 number, since 2×26854080² = 1442283225292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (26854081) 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, 9289 + ... + 11831.

Almost surely, 2^26854080 is an apocalyptic number.

26854080 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 26854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46524672).

26854080 is an abundant number, since it is smaller than the sum of its proper divisors (66195264).

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

26854080 is a wasteful number, since it uses less digits than its factorization.

26854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 26854080 is about 5182.0922415565. The cubic root of 26854080 is about 299.4585790211.

The spelling of 26854080 in words is "twenty-six million, eight hundred fifty-four thousand, eighty".