26209920 has 256 divisors, whose sum is σ = 97822080. Its totient is φ = 5898240.

The previous prime is 26209913. The next prime is 26209921. The reversal of 26209920 is 2990262.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26209921) 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, 359004 + ... + 359076.

Almost surely, 2^26209920 is an apocalyptic number.

26209920 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 26209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48911040).

26209920 is an abundant number, since it is smaller than the sum of its proper divisors (71612160).

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

26209920 is a wasteful number, since it uses less digits than its factorization.

26209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 26209920 is about 5119.5624813064. The cubic root of 26209920 is about 297.0447619278.

The spelling of 26209920 in words is "twenty-six million, two hundred nine thousand, nine hundred twenty".