27901120 has 112 divisors (see below), whose sum is σ = 75529440. Its totient is φ = 9732096.

The previous prime is 27901079. The next prime is 27901123. The reversal of 27901120 is 2110972.

It is a junction number, because it is equal to n+sod(n) for n = 27901091 and 27901100.

It is not an unprimeable number, because it can be changed into a prime (27901123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78864 + ... + 79216.

It is an arithmetic number, because the mean of its divisors is an integer number (674370).

Almost surely, 2^27901120 is an apocalyptic number.

27901120 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 27901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37764720).

27901120 is an abundant number, since it is smaller than the sum of its proper divisors (47628320).

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

27901120 is a wasteful number, since it uses less digits than its factorization.

27901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 27901120 is about 5282.1510769761. The cubic root of 27901120 is about 303.3010256887.

The spelling of 27901120 in words is "twenty-seven million, nine hundred one thousand, one hundred twenty".