27149040 has 80 divisors (see below), whose sum is σ = 93520800. Its totient is φ = 7239168.

The previous prime is 27149021. The next prime is 27149069. The reversal of 27149040 is 4094172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 27148995 and 27149013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125 + ... + 8444.

It is an arithmetic number, because the mean of its divisors is an integer number (1169010).

Almost surely, 2^27149040 is an apocalyptic number.

27149040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27149040 is an abundant number, since it is smaller than the sum of its proper divisors (66371760).

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

27149040 is a wasteful number, since it uses less digits than its factorization.

27149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12591 (or 12579 counting only the distinct ones).

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

The square root of 27149040 is about 5210.4740667237. The cubic root of 27149040 is about 300.5509874233.

The spelling of 27149040 in words is "twenty-seven million, one hundred forty-nine thousand, forty".