26981760 has 256 divisors, whose sum is σ = 98703360. Its totient is φ = 6217728.

The previous prime is 26981753. The next prime is 26981761. The reversal of 26981760 is 6718962.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26981761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574057 + ... + 574103.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^26981760 is an apocalyptic number.

26981760 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 26981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

26981760 is an abundant number, since it is smaller than the sum of its proper divisors (71721600).

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

26981760 is a wasteful number, since it uses less digits than its factorization.

26981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 26981760 is about 5194.3969813637. The cubic root of 26981760 is about 299.9324292262.

The spelling of 26981760 in words is "twenty-six million, nine hundred eighty-one thousand, seven hundred sixty".