27419040 has 192 divisors, whose sum is σ = 104872320. Its totient is φ = 6635520.

The previous prime is 27419039. The next prime is 27419053. The reversal of 27419040 is 4091472.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 27418995 and 27419013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47232 + ... + 47808.

It is an arithmetic number, because the mean of its divisors is an integer number (546210).

Almost surely, 2^27419040 is an apocalyptic number.

27419040 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 27419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436160).

27419040 is an abundant number, since it is smaller than the sum of its proper divisors (77453280).

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

27419040 is a wasteful number, since it uses less digits than its factorization.

27419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27419040 is about 5236.3193179943. The cubic root of 27419040 is about 301.5440395064.

It can be divided in two parts, 2741 and 9040, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 27419040 in words is "twenty-seven million, four hundred nineteen thousand, forty".