26124560 has 80 divisors (see below), whose sum is σ = 75745152. Its totient is φ = 8140800.

The previous prime is 26124541. The next prime is 26124569. The reversal of 26124560 is 6542162.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26124569) 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, 4040 + ... + 8280.

Almost surely, 2^26124560 is an apocalyptic number.

26124560 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 26124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37872576).

26124560 is an abundant number, since it is smaller than the sum of its proper divisors (49620592).

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

26124560 is a wasteful number, since it uses less digits than its factorization.

26124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 26124560 is about 5111.2190326770. The cubic root of 26124560 is about 296.7219411939.

The spelling of 26124560 in words is "twenty-six million, one hundred twenty-four thousand, five hundred sixty".