26341920 has 144 divisors (see below), whose sum is σ = 98122752. Its totient is φ = 6382080.

The previous prime is 26341897. The next prime is 26341933. The reversal of 26341920 is 2914362.

26341920 is a `hidden beast` number, since 2 + 634 + 1 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15009 + ... + 16671.

It is an arithmetic number, because the mean of its divisors is an integer number (681408).

Almost surely, 2^26341920 is an apocalyptic number.

26341920 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 26341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49061376).

26341920 is an abundant number, since it is smaller than the sum of its proper divisors (71780832).

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

26341920 is a wasteful number, since it uses less digits than its factorization.

26341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 26341920 is about 5132.4380171610. The cubic root of 26341920 is about 297.5425921177.

It can be divided in two parts, 26341 and 920, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 26341920 in words is "twenty-six million, three hundred forty-one thousand, nine hundred twenty".