27409920 has 160 divisors (see below), whose sum is σ = 90744192. Its totient is φ = 7053312.

The previous prime is 27409909. The next prime is 27409927. The reversal of 27409920 is 2990472.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27409927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330199 + ... + 330281.

Almost surely, 2^27409920 is an apocalyptic number.

27409920 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 27409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096).

27409920 is an abundant number, since it is smaller than the sum of its proper divisors (63334272).

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

27409920 is an equidigital number, since it uses as much as digits as its factorization.

27409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 27409920 is about 5235.4484048647. The cubic root of 27409920 is about 301.5106030500.

The spelling of 27409920 in words is "twenty-seven million, four hundred nine thousand, nine hundred twenty".