26880 has 72 divisors (see below), whose sum is σ = 98112. Its totient is φ = 6144.

The previous prime is 26879. The next prime is 26881. The reversal of 26880 is 8862.

It is an interprime number because it is at equal distance from previous prime (26879) and next prime (26881).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is a self number, because there is not a number *n* which added to its sum of digits gives 26880.

It is not an unprimeable number, because it can be changed into a prime (26881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3837 + ... + 3843.

2^{26880} is an apocalyptic number.

26880 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 26880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056).

26880 is an abundant number, since it is smaller than the sum of its proper divisors (71232).

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

26880 is an equidigital number, since it uses as much as digits as its factorization.

26880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 26880 is about 163.9512122554. The cubic root of 26880 is about 29.9554895489.

The spelling of 26880 in words is "twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880

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