26881920 has 192 divisors, whose sum is σ = 100245600. Its totient is φ = 6598656.

The previous prime is 26881919. The next prime is 26881969. The reversal of 26881920 is 2918862.

It is a tau number, because it is divible by the number of its divisors (192).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74701 + ... + 75059.

Almost surely, 2^26881920 is an apocalyptic number.

26881920 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 26881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

26881920 is an abundant number, since it is smaller than the sum of its proper divisors (73363680).

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

26881920 is a wasteful number, since it uses less digits than its factorization.

26881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 26881920 is about 5184.7777194399. Note that the first 4 decimals coincide. The cubic root of 26881920 is about 299.5620275783.

The spelling of 26881920 in words is "twenty-six million, eight hundred eighty-one thousand, nine hundred twenty".