26634240 has 216 divisors, whose sum is σ = 98058870. Its totient is φ = 6684672.

The previous prime is 26634233. The next prime is 26634277. The reversal of 26634240 is 4243662.

26634240 is a `hidden beast` number, since 2 + 6 + 634 + 24 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25887744 + 746496 = 5088^2 + 864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1566712 + ... + 1566728.

Almost surely, 2^26634240 is an apocalyptic number.

26634240 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 26634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49029435).

26634240 is an abundant number, since it is smaller than the sum of its proper divisors (71424630).

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

26634240 is a wasteful number, since it uses less digits than its factorization.

26634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 26634240 is about 5160.8371413948. The cubic root of 26634240 is about 298.6391698042.

It can be divided in two parts, 2663 and 4240, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 26634240 in words is "twenty-six million, six hundred thirty-four thousand, two hundred forty".