27930420 has 144 divisors (see below), whose sum is σ = 100533888. Its totient is φ = 6376320.

The previous prime is 27930401. The next prime is 27930421. The reversal of 27930420 is 2403972.

It is a super-2 number, since 2×27930420² = 1560216722752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27930421) 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 47 ways as a sum of consecutive naturals, for example, 33610 + ... + 34430.

It is an arithmetic number, because the mean of its divisors is an integer number (698152).

Almost surely, 2^27930420 is an apocalyptic number.

27930420 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 27930420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50266944).

27930420 is an abundant number, since it is smaller than the sum of its proper divisors (72603468).

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

27930420 is a wasteful number, since it uses less digits than its factorization.

27930420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27930420 is about 5284.9238405109. The cubic root of 27930420 is about 303.4071577616.

The spelling of 27930420 in words is "twenty-seven million, nine hundred thirty thousand, four hundred twenty".