26292560 has 80 divisors (see below), whose sum is σ = 72316800. Its totient is φ = 8698368.

The previous prime is 26292551. The next prime is 26292569. The reversal of 26292560 is 6529262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26292551) and next prime (26292569).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×26292560² = 1382597422707200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26292569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15431 + ... + 17049.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 2^26292560 is an apocalyptic number.

26292560 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 26292560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158400).

26292560 is an abundant number, since it is smaller than the sum of its proper divisors (46024240).

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

26292560 is a wasteful number, since it uses less digits than its factorization.

26292560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 26292560 is about 5127.6271315297. The cubic root of 26292560 is about 297.3566288910.

The spelling of 26292560 in words is "twenty-six million, two hundred ninety-two thousand, five hundred sixty".