26677440 has 168 divisors, whose sum is σ = 93908880. Its totient is φ = 6948864.

The previous prime is 26677439. The next prime is 26677451. The reversal of 26677440 is 4477662.

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 = 26677395 and 26677404.

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, 169842 + ... + 169998.

Almost surely, 2^26677440 is an apocalyptic number.

26677440 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 26677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46954440).

26677440 is an abundant number, since it is smaller than the sum of its proper divisors (67231440).

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

26677440 is a wasteful number, since it uses less digits than its factorization.

26677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 26677440 is about 5165.0208131236. The cubic root of 26677440 is about 298.8005440763.

The spelling of 26677440 in words is "twenty-six million, six hundred seventy-seven thousand, four hundred forty".