27764420 has 24 divisors (see below), whose sum is σ = 58736664. Its totient is φ = 11023616.

The previous prime is 27764411. The next prime is 27764449. The reversal of 27764420 is 2446772.

It can be written as a sum of positive squares in 4 ways, for example, as 7043716 + 20720704 = 2654^2 + 4552^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2327 + ... + 7806.

It is an arithmetic number, because the mean of its divisors is an integer number (2447361).

Almost surely, 2^27764420 is an apocalyptic number.

27764420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27764420 is an abundant number, since it is smaller than the sum of its proper divisors (30972244).

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

27764420 is a wasteful number, since it uses less digits than its factorization.

27764420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 27764420 is about 5269.1953844966. The cubic root of 27764420 is about 302.8048789690.

The spelling of 27764420 in words is "twenty-seven million, seven hundred sixty-four thousand, four hundred twenty".