26812080 has 80 divisors (see below), whose sum is σ = 92360160. Its totient is φ = 7149312.

The previous prime is 26812069. The next prime is 26812081. The reversal of 26812080 is 8021862.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (26812081) 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, 4047 + ... + 8366.

It is an arithmetic number, because the mean of its divisors is an integer number (1154502).

Almost surely, 2^26812080 is an apocalyptic number.

26812080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26812080 is an abundant number, since it is smaller than the sum of its proper divisors (65548080).

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

26812080 is a wasteful number, since it uses less digits than its factorization.

26812080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12435 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 26812080 is about 5178.0382385610. The cubic root of 26812080 is about 299.3023790073.

It can be divided in two parts, 2681 and 2080, that added together give a square (4761 = 69²).

The spelling of 26812080 in words is "twenty-six million, eight hundred twelve thousand, eighty".