27921960 has 144 divisors (see below), whose sum is σ = 99901620. Its totient is φ = 6758400.

The previous prime is 27921923. The next prime is 27921967. The reversal of 27921960 is 6912972.

It can be written as a sum of positive squares in 2 ways, for example, as 27185796 + 736164 = 5214^2 + 858^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27921967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43240 + ... + 43880.

Almost surely, 2^27921960 is an apocalyptic number.

27921960 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 27921960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49950810).

27921960 is an abundant number, since it is smaller than the sum of its proper divisors (71979660).

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

27921960 is a wasteful number, since it uses less digits than its factorization.

27921960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 27921960 is about 5284.1233899295. The cubic root of 27921960 is about 303.3765211086.

The spelling of 27921960 in words is "twenty-seven million, nine hundred twenty-one thousand, nine hundred sixty".