26197920 has 288 divisors, whose sum is σ = 107557632. Its totient is φ = 5677056.

The previous prime is 26197861. The next prime is 26197921. The reversal of 26197920 is 2979162.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×26197920³ (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (26197921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231784 + ... + 231896.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^26197920 is an apocalyptic number.

26197920 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 26197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

26197920 is an abundant number, since it is smaller than the sum of its proper divisors (81359712).

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

26197920 is a wasteful number, since it uses less digits than its factorization.

26197920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 26197920 is about 5118.3903719822. The cubic root of 26197920 is about 296.9994218266. Note that the first 3 decimals are identical.

The spelling of 26197920 in words is "twenty-six million, one hundred ninety-seven thousand, nine hundred twenty".