27257040 has 80 divisors (see below), whose sum is σ = 93892800. Its totient is φ = 7267968.

The previous prime is 27257033. The next prime is 27257063. The reversal of 27257040 is 4075272.

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 = 27256995 and 27257013.

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, 4150 + ... + 8469.

It is an arithmetic number, because the mean of its divisors is an integer number (1173660).

Almost surely, 2^27257040 is an apocalyptic number.

27257040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27257040 is an abundant number, since it is smaller than the sum of its proper divisors (66635760).

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

27257040 is a wasteful number, since it uses less digits than its factorization.

27257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12641 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 27257040 is about 5220.8275206139. The cubic root of 27257040 is about 300.9489948638.

The spelling of 27257040 in words is "twenty-seven million, two hundred fifty-seven thousand, forty".