26292240 has 180 divisors, whose sum is σ = 96918276. Its totient is φ = 6349824.

The previous prime is 26292239. The next prime is 26292263. The reversal of 26292240 is 4229262.

It can be written as a sum of positive squares in 6 ways, for example, as 36864 + 26255376 = 192^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 496054 + ... + 496106.

Almost surely, 2^26292240 is an apocalyptic number.

26292240 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 26292240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48459138).

26292240 is an abundant number, since it is smaller than the sum of its proper divisors (70626036).

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

26292240 is a wasteful number, since it uses less digits than its factorization.

26292240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26292240 is about 5127.5959279179. The cubic root of 26292240 is about 297.3554225357.

The spelling of 26292240 in words is "twenty-six million, two hundred ninety-two thousand, two hundred forty".