26505864 has 144 divisors (see below), whose sum is σ = 91231920. Its totient is φ = 6874560.

The previous prime is 26505827. The next prime is 26505877. The reversal of 26505864 is 46850562.

26505864 is a `hidden beast` number, since 26 + 50 + 586 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38467 + ... + 39149.

It is an arithmetic number, because the mean of its divisors is an integer number (633555).

Almost surely, 2^26505864 is an apocalyptic number.

26505864 is a gapful number since it is divisible by the number (24) 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 26505864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45615960).

26505864 is an abundant number, since it is smaller than the sum of its proper divisors (64726056).

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

26505864 is a wasteful number, since it uses less digits than its factorization.

26505864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 26505864 is about 5148.3846010181. The cubic root of 26505864 is about 298.1585871208.

The spelling of 26505864 in words is "twenty-six million, five hundred five thousand, eight hundred sixty-four".