27724140 has 48 divisors (see below), whose sum is σ = 86254560. Its totient is φ = 7392960.

The previous prime is 27724139. The next prime is 27724153. The reversal of 27724140 is 4142772.

It is a happy number.

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

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, 25131 + ... + 26210.

It is an arithmetic number, because the mean of its divisors is an integer number (1796970).

Almost surely, 2^27724140 is an apocalyptic number.

27724140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27724140 is an abundant number, since it is smaller than the sum of its proper divisors (58530420).

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

27724140 is a wasteful number, since it uses less digits than its factorization.

27724140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51359 (or 51351 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 27724140 is about 5265.3717817453. The cubic root of 27724140 is about 302.6583739138.

The spelling of 27724140 in words is "twenty-seven million, seven hundred twenty-four thousand, one hundred forty".