27421680 has 320 divisors, whose sum is σ = 107993088. Its totient is φ = 5652480.

The previous prime is 27421673. The next prime is 27421717. The reversal of 27421680 is 8612472.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 583417 + ... + 583463.

Almost surely, 2^27421680 is an apocalyptic number.

27421680 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 27421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

27421680 is an abundant number, since it is smaller than the sum of its proper divisors (80571408).

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

27421680 is a wasteful number, since it uses less digits than its factorization.

27421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 27421680 is about 5236.5713973935. The cubic root of 27421680 is about 301.5537170968.

The spelling of 27421680 in words is "twenty-seven million, four hundred twenty-one thousand, six hundred eighty".