26468820 has 108 divisors (see below), whose sum is σ = 93428244. Its totient is φ = 6048000.

The previous prime is 26468809. The next prime is 26468831. The reversal of 26468820 is 2886462.

26468820 is a `hidden beast` number, since 2 + 646 + 8 + 8 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26468809) and next prime (26468831).

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 14607684 = 3444^2 + 3822^2 .

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7320 + ... + 10320.

Almost surely, 2^26468820 is an apocalyptic number.

26468820 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 26468820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46714122).

26468820 is an abundant number, since it is smaller than the sum of its proper divisors (66959424).

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

26468820 is a wasteful number, since it uses less digits than its factorization.

26468820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26468820 is about 5144.7857098231. The cubic root of 26468820 is about 298.0196224486.

The spelling of 26468820 in words is "twenty-six million, four hundred sixty-eight thousand, eight hundred twenty".