26161920 has 144 divisors (see below), whose sum is σ = 92961120. Its totient is φ = 6967296.

The previous prime is 26161907. The next prime is 26161937. The reversal of 26161920 is 2916162.

26161920 is a `hidden beast` number, since 26 + 1 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34182 + ... + 34938.

Almost surely, 2^26161920 is an apocalyptic number.

26161920 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 26161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46480560).

26161920 is an abundant number, since it is smaller than the sum of its proper divisors (66799200).

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

26161920 is an equidigital number, since it uses as much as digits as its factorization.

26161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 26161920 is about 5114.8724324268. The cubic root of 26161920 is about 296.8633183954.

The spelling of 26161920 in words is "twenty-six million, one hundred sixty-one thousand, nine hundred twenty".