26328960 has 192 divisors, whose sum is σ = 104064480. Its totient is φ = 6008832.

The previous prime is 26328917. The next prime is 26328961. The reversal of 26328960 is 6982362.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26328961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39994 + ... + 40646.

Almost surely, 2^26328960 is an apocalyptic number.

26328960 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 26328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52032240).

26328960 is an abundant number, since it is smaller than the sum of its proper divisors (77735520).

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

26328960 is a wasteful number, since it uses less digits than its factorization.

26328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26328960 is about 5131.1753039630. The cubic root of 26328960 is about 297.4937879738.

The spelling of 26328960 in words is "twenty-six million, three hundred twenty-eight thousand, nine hundred sixty".