26079648 has 72 divisors (see below), whose sum is σ = 78638112. Its totient is φ = 7413504.

The previous prime is 26079617. The next prime is 26079659. The reversal of 26079648 is 84697062.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132286 + ... + 132482.

It is an arithmetic number, because the mean of its divisors is an integer number (1092196).

Almost surely, 2^26079648 is an apocalyptic number.

26079648 is a gapful number since it is divisible by the number (28) 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 26079648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39319056).

26079648 is an abundant number, since it is smaller than the sum of its proper divisors (52558464).

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

26079648 is an equidigital number, since it uses as much as digits as its factorization.

26079648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 26079648 is about 5106.8236703454. The cubic root of 26079648 is about 296.5518072944.

Multiplying 26079648 by its sum of digits (42), we get a square (1095345216 = 33096²).

26079648 divided by its sum of digits (42) gives a square (620944 = 788²).

The spelling of 26079648 in words is "twenty-six million, seventy-nine thousand, six hundred forty-eight".