26242624 has 56 divisors (see below), whose sum is σ = 54470808. Its totient is φ = 12533760.

The previous prime is 26242621. The next prime is 26242637. The reversal of 26242624 is 42624262.

It can be written as a sum of positive squares in 4 ways, for example, as 921600 + 25321024 = 960^2 + 5032^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26242592 and 26242601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26242621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191484 + ... + 191620.

It is an arithmetic number, because the mean of its divisors is an integer number (972693).

Almost surely, 2^26242624 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 26242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27235404).

26242624 is an abundant number, since it is smaller than the sum of its proper divisors (28228184).

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

26242624 is a wasteful number, since it uses less digits than its factorization.

26242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 26242624 is about 5122.7555085130. The cubic root of 26242624 is about 297.1682586062.

Adding to 26242624 its reverse (42624262), we get a palindrome (68866886).

It can be divided in two parts, 262426 and 24, that added together give a triangular number (262450 = T₇₂₄).

The spelling of 26242624 in words is "twenty-six million, two hundred forty-two thousand, six hundred twenty-four".