26819040 has 96 divisors (see below), whose sum is σ = 86002560. Its totient is φ = 7023104.

The previous prime is 26818991. The next prime is 26819041. The reversal of 26819040 is 4091862.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 26818989 and 26819007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26819041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27847 + ... + 28793.

It is an arithmetic number, because the mean of its divisors is an integer number (895860).

Almost surely, 2^26819040 is an apocalyptic number.

26819040 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 26819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43001280).

26819040 is an abundant number, since it is smaller than the sum of its proper divisors (59183520).

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

26819040 is a wasteful number, since it uses less digits than its factorization.

26819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

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

The square root of 26819040 is about 5178.7102641488. The cubic root of 26819040 is about 299.3282748514.

The spelling of 26819040 in words is "twenty-six million, eight hundred nineteen thousand, forty".