27419940 has 72 divisors (see below), whose sum is σ = 83603520. Its totient is φ = 7274304.

The previous prime is 27419911. The next prime is 27419947. The reversal of 27419940 is 4991472.

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

It is a junction number, because it is equal to n+sod(n) for n = 27419895 and 27419904.

It is not an unprimeable number, because it can be changed into a prime (27419947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62241 + ... + 62679.

It is an arithmetic number, because the mean of its divisors is an integer number (1161160).

Almost surely, 2^27419940 is an apocalyptic number.

27419940 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 27419940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41801760).

27419940 is an abundant number, since it is smaller than the sum of its proper divisors (56183580).

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

27419940 is a wasteful number, since it uses less digits than its factorization.

27419940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 27419940 is about 5236.4052555164. The cubic root of 27419940 is about 301.5473387547.

The spelling of 27419940 in words is "twenty-seven million, four hundred nineteen thousand, nine hundred forty".