27861408 has 72 divisors (see below), whose sum is σ = 82188288. Its totient is φ = 9284544.

The previous prime is 27861401. The next prime is 27861433. The reversal of 27861408 is 80416872.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27861401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5985 + ... + 9567.

It is an arithmetic number, because the mean of its divisors is an integer number (1141504).

Almost surely, 2^27861408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27861408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094144).

27861408 is an abundant number, since it is smaller than the sum of its proper divisors (54326880).

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

27861408 is an equidigital number, since it uses as much as digits as its factorization.

27861408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 27861408 is about 5278.3906638293. The cubic root of 27861408 is about 303.1570600306.

The spelling of 27861408 in words is "twenty-seven million, eight hundred sixty-one thousand, four hundred eight".