27920820 has 48 divisors (see below), whose sum is σ = 79849728. Its totient is φ = 7286400.

The previous prime is 27920819. The next prime is 27920833. The reversal of 27920820 is 2802972.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131 + ... + 7770.

It is an arithmetic number, because the mean of its divisors is an integer number (1663536).

Almost surely, 2^27920820 is an apocalyptic number.

27920820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27920820 is an abundant number, since it is smaller than the sum of its proper divisors (51928908).

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

27920820 is a wasteful number, since it uses less digits than its factorization.

27920820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9960 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 27920820 is about 5284.0155185238. The cubic root of 27920820 is about 303.3723922922.

The spelling of 27920820 in words is "twenty-seven million, nine hundred twenty thousand, eight hundred twenty".