26681520 has 80 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 7041792.

The previous prime is 26681507. The next prime is 26681521. The reversal of 26681520 is 2518662.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (26681521) 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, 25161 + ... + 26199.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 2^26681520 is an apocalyptic number.

26681520 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 26681520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

26681520 is an abundant number, since it is smaller than the sum of its proper divisors (56884560).

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

26681520 is a wasteful number, since it uses less digits than its factorization.

26681520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 26681520 is about 5165.4157625500. The cubic root of 26681520 is about 298.8157759735.

The spelling of 26681520 in words is "twenty-six million, six hundred eighty-one thousand, five hundred twenty".