26567040 has 128 divisors (see below), whose sum is σ = 86145120. Its totient is φ = 6963200.

The previous prime is 26567017. The next prime is 26567063. The reversal of 26567040 is 4076562.

It is an interprime number because it is at equal distance from previous prime (26567017) and next prime (26567063).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26567040² = 1411615228723200, which contains 22 as substring.

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 = 26566989 and 26567007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193852 + ... + 193988.

Almost surely, 2^26567040 is an apocalyptic number.

26567040 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 26567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43072560).

26567040 is an abundant number, since it is smaller than the sum of its proper divisors (59578080).

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

26567040 is a wasteful number, since it uses less digits than its factorization.

26567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 26567040 is about 5154.3224578988. The cubic root of 26567040 is about 298.3877959584.

The spelling of 26567040 in words is "twenty-six million, five hundred sixty-seven thousand, forty".