26859648 has 64 divisors (see below), whose sum is σ = 72093600. Its totient is φ = 8859648.

The previous prime is 26859641. The next prime is 26859689. The reversal of 26859648 is 84695862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 26859597 and 26859606.

It is not an unprimeable number, because it can be changed into a prime (26859641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43083 + ... + 43701.

Almost surely, 2^26859648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36046800).

26859648 is an abundant number, since it is smaller than the sum of its proper divisors (45233952).

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

26859648 is a wasteful number, since it uses less digits than its factorization.

26859648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 26859648 is about 5182.6294484557. The cubic root of 26859648 is about 299.4792744504.

The spelling of 26859648 in words is "twenty-six million, eight hundred fifty-nine thousand, six hundred forty-eight".