27541920 has 144 divisors (see below), whose sum is σ = 101007648. Its totient is φ = 6289920.

The previous prime is 27541903. The next prime is 27541933. The reversal of 27541920 is 2914572.

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

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, 22935 + ... + 24105.

It is an arithmetic number, because the mean of its divisors is an integer number (701442).

Almost surely, 2^27541920 is an apocalyptic number.

27541920 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 27541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50503824).

27541920 is an abundant number, since it is smaller than the sum of its proper divisors (73465728).

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

27541920 is a wasteful number, since it uses less digits than its factorization.

27541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 27541920 is about 5248.0396339967. The cubic root of 27541920 is about 301.9938305539.

It can be divided in two parts, 275 and 41920, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 27541920 in words is "twenty-seven million, five hundred forty-one thousand, nine hundred twenty".