26678340 has 108 divisors (see below), whose sum is σ = 87728004. Its totient is φ = 6559488.

The previous prime is 26678317. The next prime is 26678341. The reversal of 26678340 is 4387662.

It can be written as a sum of positive squares in 6 ways, for example, as 1937664 + 24740676 = 1392^2 + 4974^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 26678295 and 26678304.

It is not an unprimeable number, because it can be changed into a prime (26678341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29982 + ... + 30858.

Almost surely, 2^26678340 is an apocalyptic number.

26678340 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 26678340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43864002).

26678340 is an abundant number, since it is smaller than the sum of its proper divisors (61049664).

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

26678340 is a wasteful number, since it uses less digits than its factorization.

26678340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 900 counting only the distinct ones).

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

The square root of 26678340 is about 5165.1079369167. The cubic root of 26678340 is about 298.8039041871.

It can be divided in two parts, 266 and 78340, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 26678340 in words is "twenty-six million, six hundred seventy-eight thousand, three hundred forty".