26288640 has 240 divisors, whose sum is σ = 104689728. Its totient is φ = 5971968.

The previous prime is 26288629. The next prime is 26288641. The reversal of 26288640 is 4688262.

26288640 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 26288595 and 26288604.

It is not an unprimeable number, because it can be changed into a prime (26288641) 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, 161199 + ... + 161361.

Almost surely, 2^26288640 is an apocalyptic number.

26288640 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 26288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344864).

26288640 is an abundant number, since it is smaller than the sum of its proper divisors (78401088).

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

26288640 is a wasteful number, since it uses less digits than its factorization.

26288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26288640 is about 5127.2448741990. The cubic root of 26288640 is about 297.3418503641.

The spelling of 26288640 in words is "twenty-six million, two hundred eighty-eight thousand, six hundred forty".