27740625 has 48 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 13400000.

The previous prime is 27740621. The next prime is 27740683. The reversal of 27740625 is 52604772.

It is not a de Polignac number, because 27740625 - 2² = 27740621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (27740621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102991 + ... + 103259.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^27740625 is an apocalyptic number.

27740625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27740625 is a deficient number, since it is larger than the sum of its proper divisors (22881135).

27740625 is an equidigital number, since it uses as much as digits as its factorization.

27740625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 27740625 is about 5266.9369656376. The cubic root of 27740625 is about 302.7183497414.

The spelling of 27740625 in words is "twenty-seven million, seven hundred forty thousand, six hundred twenty-five".