26760864 has 96 divisors (see below), whose sum is σ = 77644224. Its totient is φ = 8017920.

The previous prime is 26760857. The next prime is 26760887. The reversal of 26760864 is 46806762.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26760864² = 1432287684052992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 50907 + ... + 51429.

It is an arithmetic number, because the mean of its divisors is an integer number (808794).

Almost surely, 2^26760864 is an apocalyptic number.

26760864 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 26760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38822112).

26760864 is an abundant number, since it is smaller than the sum of its proper divisors (50883360).

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

26760864 is a wasteful number, since it uses less digits than its factorization.

26760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 26760864 is about 5173.0903723016. The cubic root of 26760864 is about 299.1116833524. Note that the first 3 decimals are identical.

The spelling of 26760864 in words is "twenty-six million, seven hundred sixty thousand, eight hundred sixty-four".