26114560 has 60 divisors (see below), whose sum is σ = 63239814. Its totient is φ = 10342400.

The previous prime is 26114551. The next prime is 26114573. The reversal of 26114560 is 6541162.

It can be written as a sum of positive squares in 3 ways, for example, as 25725184 + 389376 = 5072^2 + 624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 258510 + ... + 258610.

Almost surely, 2^26114560 is an apocalyptic number.

26114560 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 26114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31619907).

26114560 is an abundant number, since it is smaller than the sum of its proper divisors (37125254).

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

26114560 is an frugal number, since it uses more digits than its factorization.

26114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 26114560 is about 5110.2406988321. The cubic root of 26114560 is about 296.6840764657.

Multiplying 26114560 by its product of nonzero digits (1440), we get a square (37604966400 = 193920²).

The spelling of 26114560 in words is "twenty-six million, one hundred fourteen thousand, five hundred sixty".