26749440 has 240 divisors, whose sum is σ = 98306208. Its totient is φ = 6967296.

The previous prime is 26749427. The next prime is 26749487. The reversal of 26749440 is 4494762.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 26749395 and 26749404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622059 + ... + 622101.

Almost surely, 2^26749440 is an apocalyptic number.

26749440 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 26749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153104).

26749440 is an abundant number, since it is smaller than the sum of its proper divisors (71556768).

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

26749440 is an frugal number, since it uses more digits than its factorization.

26749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 26749440 is about 5171.9860788676. The cubic root of 26749440 is about 299.0691144949.

The spelling of 26749440 in words is "twenty-six million, seven hundred forty-nine thousand, four hundred forty".