26563140 has 120 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 6702912.

The previous prime is 26563139. The next prime is 26563153. The reversal of 26563140 is 4136562.

26563140 is a `hidden beast` number, since 2 + 656 + 3 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30349 + ... + 31211.

It is an arithmetic number, because the mean of its divisors is an integer number (731808).

Almost surely, 2^26563140 is an apocalyptic number.

26563140 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 26563140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

26563140 is an abundant number, since it is smaller than the sum of its proper divisors (61253820).

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

26563140 is a wasteful number, since it uses less digits than its factorization.

26563140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 26563140 is about 5153.9441207681. The cubic root of 26563140 is about 298.3731942896.

The spelling of 26563140 in words is "twenty-six million, five hundred sixty-three thousand, one hundred forty".