26261712 has 160 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 8087040.

The previous prime is 26261657. The next prime is 26261713. The reversal of 26261712 is 21716262.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2016) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26261713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495478 + ... + 495530.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 2^26261712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26261712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

26261712 is an abundant number, since it is smaller than the sum of its proper divisors (55161648).

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

26261712 is a wasteful number, since it uses less digits than its factorization.

26261712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 26261712 is about 5124.6182296831. The cubic root of 26261712 is about 297.2402912020.

Adding to 26261712 its reverse (21716262), we get a palindrome (47977974).

The spelling of 26261712 in words is "twenty-six million, two hundred sixty-one thousand, seven hundred twelve".