26872560 has 400 divisors, whose sum is σ = 113430240. Its totient is φ = 5806080.

The previous prime is 26872523. The next prime is 26872607. The reversal of 26872560 is 6527862.

26872560 is a `hidden beast` number, since 26 + 8 + 72 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926626 + ... + 926654.

Almost surely, 2^26872560 is an apocalyptic number.

26872560 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 26872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715120).

26872560 is an abundant number, since it is smaller than the sum of its proper divisors (86557680).

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

26872560 is a wasteful number, since it uses less digits than its factorization.

26872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 26872560 is about 5183.8749984929. The cubic root of 26872560 is about 299.5272554332.

The spelling of 26872560 in words is "twenty-six million, eight hundred seventy-two thousand, five hundred sixty".