26679840 has 192 divisors, whose sum is σ = 95219712. Its totient is φ = 6220800.

The previous prime is 26679787. The next prime is 26679881. The reversal of 26679840 is 4897662.

It is a junction number, because it is equal to n+sod(n) for n = 26679792 and 26679801.

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, 163599 + ... + 163761.

It is an arithmetic number, because the mean of its divisors is an integer number (495936).

Almost surely, 2^26679840 is an apocalyptic number.

26679840 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 26679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47609856).

26679840 is an abundant number, since it is smaller than the sum of its proper divisors (68539872).

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

26679840 is a wasteful number, since it uses less digits than its factorization.

26679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 26679840 is about 5165.2531399729. The cubic root of 26679840 is about 298.8095042039.

The spelling of 26679840 in words is "twenty-six million, six hundred seventy-nine thousand, eight hundred forty".