26819920 has 20 divisors (see below), whose sum is σ = 62356500. Its totient is φ = 10727936.

The previous prime is 26819879. The next prime is 26819927. The reversal of 26819920 is 2991862.

It can be written as a sum of positive squares in 2 ways, for example, as 18731584 + 8088336 = 4328^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 26819920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26819927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167545 + ... + 167704.

It is an arithmetic number, because the mean of its divisors is an integer number (3117825).

Almost surely, 2^26819920 is an apocalyptic number.

26819920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26819920 is an abundant number, since it is smaller than the sum of its proper divisors (35536580).

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

26819920 is a wasteful number, since it uses less digits than its factorization.

26819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335262 (or 335256 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 26819920 is about 5178.7952266912. The cubic root of 26819920 is about 299.3315487196.

The spelling of 26819920 in words is "twenty-six million, eight hundred nineteen thousand, nine hundred twenty".