26133280 has 48 divisors (see below), whose sum is σ = 62093304. Its totient is φ = 10393600.

The previous prime is 26133241. The next prime is 26133287. The reversal of 26133280 is 8233162.

It can be written as a sum of positive squares in 4 ways, for example, as 21790224 + 4343056 = 4668^2 + 2084^2 .

It is not an unprimeable number, because it can be changed into a prime (26133287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36930 + ... + 37630.

Almost surely, 2^26133280 is an apocalyptic number.

26133280 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 26133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31046652).

26133280 is an abundant number, since it is smaller than the sum of its proper divisors (35960024).

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

26133280 is a wasteful number, since it uses less digits than its factorization.

26133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 26133280 is about 5112.0719869736. The cubic root of 26133280 is about 296.7549513511.

The spelling of 26133280 in words is "twenty-six million, one hundred thirty-three thousand, two hundred eighty".