26240640 has 128 divisors (see below), whose sum is σ = 85190400. Its totient is φ = 6868992.

The previous prime is 26240611. The next prime is 26240651. The reversal of 26240640 is 4604262.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26240640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151594 + ... + 151766.

It is an arithmetic number, because the mean of its divisors is an integer number (665550).

Almost surely, 2^26240640 is an apocalyptic number.

26240640 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 26240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42595200).

26240640 is an abundant number, since it is smaller than the sum of its proper divisors (58949760).

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

26240640 is a wasteful number, since it uses less digits than its factorization.

26240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 26240640 is about 5122.5618590701. The cubic root of 26240640 is about 297.1607695598.

The spelling of 26240640 in words is "twenty-six million, two hundred forty thousand, six hundred forty".