26544672 has 360 divisors, whose sum is σ = 104282640. Its totient is φ = 6531840.

The previous prime is 26544659. The next prime is 26544673. The reversal of 26544672 is 27644562.

It is a super-2 number, since 2×26544672² = 1409239223175168, which contains 22 as substring.

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

Its product of digits (80640) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (26544673) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1397079 + ... + 1397097.

It is an arithmetic number, because the mean of its divisors is an integer number (289674).

Almost surely, 2^26544672 is an apocalyptic number.

26544672 is a gapful number since it is divisible by the number (22) 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 26544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52141320).

26544672 is an abundant number, since it is smaller than the sum of its proper divisors (77737968).

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

26544672 is a wasteful number, since it uses less digits than its factorization.

26544672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 26544672 is about 5152.1521716657. The cubic root of 26544672 is about 298.3040303571.

The spelling of 26544672 in words is "twenty-six million, five hundred forty-four thousand, six hundred seventy-two".