27041920 has 128 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 9891840.

The previous prime is 27041909. The next prime is 27041933. The reversal of 27041920 is 2914072.

It is a tau number, because it is divible by the number of its divisors (128).

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, 575337 + ... + 575383.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 2^27041920 is an apocalyptic number.

27041920 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 27041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

27041920 is an abundant number, since it is smaller than the sum of its proper divisors (43460480).

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

27041920 is a wasteful number, since it uses less digits than its factorization.

27041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 27041920 is about 5200.1846121075. The cubic root of 27041920 is about 300.1551789770.

Adding to 27041920 its reverse (2914072), we get a palindrome (29955992).

It can be divided in two parts, 2704 and 1920, that added together give a square (4624 = 68²).

The spelling of 27041920 in words is "twenty-seven million, forty-one thousand, nine hundred twenty".