26019840 has 288 divisors, whose sum is σ = 104569920. Its totient is φ = 5406720.

The previous prime is 26019817. The next prime is 26019841. The reversal of 26019840 is 4891062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26019798 and 26019807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26019841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365435 + ... + 2365445.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 2^26019840 is an apocalyptic number.

26019840 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 26019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

26019840 is an abundant number, since it is smaller than the sum of its proper divisors (78550080).

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

26019840 is a wasteful number, since it uses less digits than its factorization.

26019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 26019840 is about 5100.9646146587. The cubic root of 26019840 is about 296.3249414281.

It can be divided in two parts, 260 and 19840, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 26019840 in words is "twenty-six million, nineteen thousand, eight hundred forty".