26456640 has 224 divisors, whose sum is σ = 99876864. Its totient is φ = 5806080.

The previous prime is 26456597. The next prime is 26456669. The reversal of 26456640 is 4665462.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208257 + ... + 208383.

Almost surely, 2^26456640 is an apocalyptic number.

26456640 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 26456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49938432).

26456640 is an abundant number, since it is smaller than the sum of its proper divisors (73420224).

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

26456640 is a wasteful number, since it uses less digits than its factorization.

26456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 26456640 is about 5143.6018508434. The cubic root of 26456640 is about 297.9739027940.

The spelling of 26456640 in words is "twenty-six million, four hundred fifty-six thousand, six hundred forty".