26541840 has 160 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 6359040.

The previous prime is 26541829. The next prime is 26541871. The reversal of 26541840 is 4814562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26541798 and 26541807.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 146550 + ... + 146730.

Almost surely, 2^26541840 is an apocalyptic number.

26541840 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 26541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

26541840 is an abundant number, since it is smaller than the sum of its proper divisors (64452336).

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

26541840 is a wasteful number, since it uses less digits than its factorization.

26541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 26541840 is about 5151.8773277321. The cubic root of 26541840 is about 298.2934214854.

The spelling of 26541840 in words is "twenty-six million, five hundred forty-one thousand, eight hundred forty".