27960000 has 140 divisors (see below), whose sum is σ = 92839032. Its totient is φ = 7424000.

The previous prime is 27959993. The next prime is 27960007. The reversal of 27960000 is 6972.

It is an interprime number because it is at equal distance from previous prime (27959993) and next prime (27960007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (27960007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119884 + ... + 120116.

Almost surely, 2^27960000 is an apocalyptic number.

27960000 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 27960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46419516).

27960000 is an abundant number, since it is smaller than the sum of its proper divisors (64879032).

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

27960000 is an equidigital number, since it uses as much as digits as its factorization.

27960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 27960000 is about 5287.7216265609. The cubic root of 27960000 is about 303.5142288011.

Adding to 27960000 its reverse (6972), we get a palindrome (27966972).

The spelling of 27960000 in words is "twenty-seven million, nine hundred sixty thousand".