27430040 has 64 divisors (see below), whose sum is σ = 69534720. Its totient is φ = 9648000.

The previous prime is 27430021. The next prime is 27430043. The reversal of 27430040 is 4003472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 27429994 and 27430021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27430043) 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, 12635 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (1086480).

Almost surely, 2^27430040 is an apocalyptic number.

27430040 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 27430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34767360).

27430040 is an abundant number, since it is smaller than the sum of its proper divisors (42104680).

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

27430040 is a wasteful number, since it uses less digits than its factorization.

27430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 27430040 is about 5237.3695687816. The cubic root of 27430040 is about 301.5843587026.

The spelling of 27430040 in words is "twenty-seven million, four hundred thirty thousand, forty".