26288080 has 160 divisors (see below), whose sum is σ = 78994944. Its totient is φ = 7907328.

The previous prime is 26288071. The next prime is 26288089. The reversal of 26288080 is 8088262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26288071) and next prime (26288089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26288089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167362 + ... + 167518.

Almost surely, 2^26288080 is an apocalyptic number.

26288080 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 26288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497472).

26288080 is an abundant number, since it is smaller than the sum of its proper divisors (52706864).

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

26288080 is a wasteful number, since it uses less digits than its factorization.

26288080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 26288080 is about 5127.1902636824. The cubic root of 26288080 is about 297.3397390260.

The spelling of 26288080 in words is "twenty-six million, two hundred eighty-eight thousand, eighty".