27919040 has 56 divisors (see below), whose sum is σ = 68061840. Its totient is φ = 10902528.

The previous prime is 27919027. The next prime is 27919057. The reversal of 27919040 is 4091972.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 27918988 and 27919006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12746 + ... + 14774.

It is an arithmetic number, because the mean of its divisors is an integer number (1215390).

Almost surely, 2^27919040 is an apocalyptic number.

27919040 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 27919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34030920).

27919040 is an abundant number, since it is smaller than the sum of its proper divisors (40142800).

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

27919040 is a wasteful number, since it uses less digits than its factorization.

27919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 27919040 is about 5283.8470833286. The cubic root of 27919040 is about 303.3659453190.

The spelling of 27919040 in words is "twenty-seven million, nine hundred nineteen thousand, forty".