26107680 has 96 divisors (see below), whose sum is σ = 83160000. Its totient is φ = 6884352.

The previous prime is 26107657. The next prime is 26107703. The reversal of 26107680 is 8670162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26107657) and next prime (26107703).

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

It is a super-2 number, since 2×26107680² = 1363221909964800, which contains 22 as substring.

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

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, 52071 + ... + 52569.

It is an arithmetic number, because the mean of its divisors is an integer number (866250).

Almost surely, 2^26107680 is an apocalyptic number.

26107680 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 26107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41580000).

26107680 is an abundant number, since it is smaller than the sum of its proper divisors (57052320).

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

26107680 is a wasteful number, since it uses less digits than its factorization.

26107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 26107680 is about 5109.5674963738. The cubic root of 26107680 is about 296.6580199194.

The spelling of 26107680 in words is "twenty-six million, one hundred seven thousand, six hundred eighty".