26122880 has 160 divisors (see below), whose sum is σ = 77139540. Its totient is φ = 8429568.

The previous prime is 26122867. The next prime is 26122883. The reversal of 26122880 is 8822162.

It can be written as a sum of positive squares in 2 ways, for example, as 25969216 + 153664 = 5096^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (26122883) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1536632 + ... + 1536648.

Almost surely, 2^26122880 is an apocalyptic number.

26122880 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 26122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38569770).

26122880 is an abundant number, since it is smaller than the sum of its proper divisors (51016660).

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

26122880 is an frugal number, since it uses more digits than its factorization.

26122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 26122880 is about 5111.0546856789. The cubic root of 26122880 is about 296.7155805949.

The spelling of 26122880 in words is "twenty-six million, one hundred twenty-two thousand, eight hundred eighty".