27820146 has 24 divisors (see below), whose sum is σ = 56876400. Its totient is φ = 9071752.

The previous prime is 27820141. The next prime is 27820151. The reversal of 27820146 is 64102872.

It is an interprime number because it is at equal distance from previous prime (27820141) and next prime (27820151).

It is a super-2 number, since 2×27820146² = 1547921046922632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27820141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12205 + ... + 14303.

It is an arithmetic number, because the mean of its divisors is an integer number (2369850).

Almost surely, 2^27820146 is an apocalyptic number.

27820146 is an abundant number, since it is smaller than the sum of its proper divisors (29056254).

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

27820146 is a wasteful number, since it uses less digits than its factorization.

27820146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 27820146 is about 5274.4806379396. The cubic root of 27820146 is about 303.0073302587.

It can be divided in two parts, 27820 and 146, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 27820146 in words is "twenty-seven million, eight hundred twenty thousand, one hundred forty-six".