26760240 has 160 divisors (see below), whose sum is σ = 99368640. Its totient is φ = 6580224.

The previous prime is 26760229. The next prime is 26760257. The reversal of 26760240 is 4206762.

It is a super-2 number, since 2×26760240² = 1432220889715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27604 + ... + 28556.

It is an arithmetic number, because the mean of its divisors is an integer number (621054).

Almost surely, 2^26760240 is an apocalyptic number.

26760240 is a gapful number since it is divisible by the number (20) 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 26760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49684320).

26760240 is an abundant number, since it is smaller than the sum of its proper divisors (72608400).

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

26760240 is a wasteful number, since it uses less digits than its factorization.

26760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26760240 is about 5173.0300598392. The cubic root of 26760240 is about 299.1093584756.

It can be divided in two parts, 26760 and 240, that added together give a cube (27000 = 30³).

The spelling of 26760240 in words is "twenty-six million, seven hundred sixty thousand, two hundred forty".