26623872 has 144 divisors (see below), whose sum is σ = 84651840. Its totient is φ = 8025600.

The previous prime is 26623841. The next prime is 26623873. The reversal of 26623872 is 27832662.

26623872 is a `hidden beast` number, since 26 + 623 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26623873) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139297 + ... + 139487.

It is an arithmetic number, because the mean of its divisors is an integer number (587860).

Almost surely, 2^26623872 is an apocalyptic number.

26623872 is a gapful number since it is divisible by the number (22) 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 26623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325920).

26623872 is an abundant number, since it is smaller than the sum of its proper divisors (58027968).

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

26623872 is a wasteful number, since it uses less digits than its factorization.

26623872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 26623872 is about 5159.8325554227. The cubic root of 26623872 is about 298.6004140175.

It can be divided in two parts, 26623 and 872, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 26623872 in words is "twenty-six million, six hundred twenty-three thousand, eight hundred seventy-two".