26765920 has 48 divisors (see below), whose sum is σ = 63767088. Its totient is φ = 10616320.

The previous prime is 26765903. The next prime is 26765929. The reversal of 26765920 is 2956762.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26765920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26765929) 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, 20322 + ... + 21598.

It is an arithmetic number, because the mean of its divisors is an integer number (1328481).

Almost surely, 2^26765920 is an apocalyptic number.

26765920 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 26765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31883544).

26765920 is an abundant number, since it is smaller than the sum of its proper divisors (37001168).

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

26765920 is a wasteful number, since it uses less digits than its factorization.

26765920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 26765920 is about 5173.5790319662. The cubic root of 26765920 is about 299.1305194837.

The spelling of 26765920 in words is "twenty-six million, seven hundred sixty-five thousand, nine hundred twenty".