26623520 has 96 divisors (see below), whose sum is σ = 78454656. Its totient is φ = 8294400.

The previous prime is 26623517. The next prime is 26623529. The reversal of 26623520 is 2532662.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26623520.

It is not an unprimeable number, because it can be changed into a prime (26623529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11240 + ... + 13400.

It is an arithmetic number, because the mean of its divisors is an integer number (817236).

Almost surely, 2^26623520 is an apocalyptic number.

26623520 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 26623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39227328).

26623520 is an abundant number, since it is smaller than the sum of its proper divisors (51831136).

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

26623520 is a wasteful number, since it uses less digits than its factorization.

26623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 26623520 is about 5159.7984456760. The cubic root of 26623520 is about 298.5990980581.

The spelling of 26623520 in words is "twenty-six million, six hundred twenty-three thousand, five hundred twenty".