26671680 has 336 divisors, whose sum is σ = 110947200. Its totient is φ = 6096384.

The previous prime is 26671679. The next prime is 26671681. The reversal of 26671680 is 8617662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26671679) and next prime (26671681).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×26671680² = 1422757028044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26671681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3810237 + ... + 3810243.

It is an arithmetic number, because the mean of its divisors is an integer number (330200).

Almost surely, 2^26671680 is an apocalyptic number.

26671680 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 26671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473600).

26671680 is an abundant number, since it is smaller than the sum of its proper divisors (84275520).

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

26671680 is an frugal number, since it uses more digits than its factorization.

26671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26671680 is about 5164.4631860436. The cubic root of 26671680 is about 298.7790375772.

The spelling of 26671680 in words is "twenty-six million, six hundred seventy-one thousand, six hundred eighty".