27422640 has 120 divisors (see below), whose sum is σ = 105270048. Its totient is φ = 6266880.

The previous prime is 27422627. The next prime is 27422641. The reversal of 27422640 is 4622472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (27422641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320 + ... + 7760.

Almost surely, 2^27422640 is an apocalyptic number.

27422640 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 27422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52635024).

27422640 is an abundant number, since it is smaller than the sum of its proper divisors (77847408).

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

27422640 is a wasteful number, since it uses less digits than its factorization.

27422640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 27422640 is about 5236.6630596211. The cubic root of 27422640 is about 301.5572360666.

The spelling of 27422640 in words is "twenty-seven million, four hundred twenty-two thousand, six hundred forty".