26725680 has 80 divisors (see below), whose sum is σ = 92062560. Its totient is φ = 7126272.

The previous prime is 26725667. The next prime is 26725681. The reversal of 26725680 is 8652762.

26725680 is a `hidden beast` number, since 26 + 72 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (26725681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4027 + ... + 8346.

It is an arithmetic number, because the mean of its divisors is an integer number (1150782).

Almost surely, 2^26725680 is an apocalyptic number.

26725680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26725680 is an abundant number, since it is smaller than the sum of its proper divisors (65336880).

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

26725680 is a wasteful number, since it uses less digits than its factorization.

26725680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12395 (or 12383 counting only the distinct ones).

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

The square root of 26725680 is about 5169.6885786283. The cubic root of 26725680 is about 298.9805395924.

The spelling of 26725680 in words is "twenty-six million, seven hundred twenty-five thousand, six hundred eighty".