26585280 has 224 divisors, whose sum is σ = 99852480. Its totient is φ = 6635520.

The previous prime is 26585269. The next prime is 26585323. The reversal of 26585280 is 8258562.

It is a super-2 number, since 2×26585280² = 1413554225356800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146790 + ... + 146970.

It is an arithmetic number, because the mean of its divisors is an integer number (445770).

Almost surely, 2^26585280 is an apocalyptic number.

26585280 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 26585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

26585280 is an abundant number, since it is smaller than the sum of its proper divisors (73267200).

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

26585280 is a wasteful number, since it uses less digits than its factorization.

26585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 26585280 is about 5156.0915430198. The cubic root of 26585280 is about 298.4560678761.

The spelling of 26585280 in words is "twenty-six million, five hundred eighty-five thousand, two hundred eighty".