26887680 has 160 divisors (see below), whose sum is σ = 95752800. Its totient is φ = 7151616.

The previous prime is 26887673. The next prime is 26887681. The reversal of 26887680 is 8678862.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26887681) 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, 68926 + ... + 69314.

It is an arithmetic number, because the mean of its divisors is an integer number (598455).

Almost surely, 2^26887680 is an apocalyptic number.

26887680 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 26887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876400).

26887680 is an abundant number, since it is smaller than the sum of its proper divisors (68865120).

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

26887680 is an equidigital number, since it uses as much as digits as its factorization.

26887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 26887680 is about 5185.3331619097. Note that the first 3 decimals coincide. The cubic root of 26887680 is about 299.5834218098.

The spelling of 26887680 in words is "twenty-six million, eight hundred eighty-seven thousand, six hundred eighty".