27451920 has 80 divisors (see below), whose sum is σ = 85976640. Its totient is φ = 7245312.

The previous prime is 27451871. The next prime is 27451927. The reversal of 27451920 is 2915472.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (27451927) 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, 25146 + ... + 26214.

It is an arithmetic number, because the mean of its divisors is an integer number (1074708).

Almost surely, 2^27451920 is an apocalyptic number.

27451920 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 27451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42988320).

27451920 is an abundant number, since it is smaller than the sum of its proper divisors (58524720).

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

27451920 is a wasteful number, since it uses less digits than its factorization.

27451920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

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

The square root of 27451920 is about 5239.4579872349. The cubic root of 27451920 is about 301.6645252164.

The spelling of 27451920 in words is "twenty-seven million, four hundred fifty-one thousand, nine hundred twenty".