26936820 has 96 divisors (see below), whose sum is σ = 84954240. Its totient is φ = 7084800.

The previous prime is 26936797. The next prime is 26936821. The reversal of 26936820 is 2863962.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26936821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44520 + ... + 45120.

It is an arithmetic number, because the mean of its divisors is an integer number (884940).

Almost surely, 2^26936820 is an apocalyptic number.

26936820 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 26936820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42477120).

26936820 is an abundant number, since it is smaller than the sum of its proper divisors (58017420).

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

26936820 is a wasteful number, since it uses less digits than its factorization.

26936820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26936820 is about 5190.0693636983. The cubic root of 26936820 is about 299.7658172424.

The spelling of 26936820 in words is "twenty-six million, nine hundred thirty-six thousand, eight hundred twenty".