27553920 has 128 divisors (see below), whose sum is σ = 89303040. Its totient is φ = 7225344.

The previous prime is 27553919. The next prime is 27553949. The reversal of 27553920 is 2935572.

It is a tau number, because it is divible by the number of its divisors (128).

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, 216897 + ... + 217023.

It is an arithmetic number, because the mean of its divisors is an integer number (697680).

Almost surely, 2^27553920 is an apocalyptic number.

27553920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651520).

27553920 is an abundant number, since it is smaller than the sum of its proper divisors (61749120).

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

27553920 is a wasteful number, since it uses less digits than its factorization.

27553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 27553920 is about 5249.1827935403. The cubic root of 27553920 is about 302.0376837031.

The spelling of 27553920 in words is "twenty-seven million, five hundred fifty-three thousand, nine hundred twenty".