26585664 has 112 divisors (see below), whose sum is σ = 81540096. Its totient is φ = 7488000.

The previous prime is 26585621. The next prime is 26585681. The reversal of 26585664 is 46658562.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175989 + ... + 176139.

Almost surely, 2^26585664 is an apocalyptic number.

26585664 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 26585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40770048).

26585664 is an abundant number, since it is smaller than the sum of its proper divisors (54954432).

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

26585664 is a wasteful number, since it uses less digits than its factorization.

26585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 26585664 is about 5156.1287803933. The cubic root of 26585664 is about 298.4575048440.

The spelling of 26585664 in words is "twenty-six million, five hundred eighty-five thousand, six hundred sixty-four".