26873820 has 72 divisors (see below), whose sum is σ = 82083456. Its totient is φ = 7116672.

The previous prime is 26873813. The next prime is 26873863. The reversal of 26873820 is 2837862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30709 + ... + 31571.

It is an arithmetic number, because the mean of its divisors is an integer number (1140048).

Almost surely, 2^26873820 is an apocalyptic number.

26873820 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 26873820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041728).

26873820 is an abundant number, since it is smaller than the sum of its proper divisors (55209636).

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

26873820 is a wasteful number, since it uses less digits than its factorization.

26873820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 26873820 is about 5183.9965277766. The cubic root of 26873820 is about 299.5319367692.

Adding to 26873820 its sum of digits (36), we get a 4-th power (26873856 = 72⁴).

It can be divided in two parts, 268 and 73820, that added together give a cube (74088 = 42³).

The spelling of 26873820 in words is "twenty-six million, eight hundred seventy-three thousand, eight hundred twenty".