26788464 has 120 divisors (see below), whose sum is σ = 82173312. Its totient is φ = 8110080.

The previous prime is 26788459. The next prime is 26788471. The reversal of 26788464 is 46488762.

It is a super-4 number, since 4×26788464⁴ (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75712 + ... + 76064.

Almost surely, 2^26788464 is an apocalyptic number.

26788464 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 26788464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41086656).

26788464 is an abundant number, since it is smaller than the sum of its proper divisors (55384848).

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

26788464 is a wasteful number, since it uses less digits than its factorization.

26788464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 26788464 is about 5175.7573358882. The cubic root of 26788464 is about 299.2144783141.

The spelling of 26788464 in words is "twenty-six million, seven hundred eighty-eight thousand, four hundred sixty-four".