27122880 has 112 divisors (see below), whose sum is σ = 90708480. Its totient is φ = 6847488.

The previous prime is 27122827. The next prime is 27122881. The reversal of 27122880 is 8822172.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (27122881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17497 + ... + 18983.

Almost surely, 2^27122880 is an apocalyptic number.

27122880 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 27122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354240).

27122880 is an abundant number, since it is smaller than the sum of its proper divisors (63585600).

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

27122880 is a wasteful number, since it uses less digits than its factorization.

27122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 27122880 is about 5207.9631335101. The cubic root of 27122880 is about 300.4544224311.

The spelling of 27122880 in words is "twenty-seven million, one hundred twenty-two thousand, eight hundred eighty".