27949680 has 120 divisors (see below), whose sum is σ = 102426480. Its totient is φ = 6773760.

The previous prime is 27949667. The next prime is 27949711. The reversal of 27949680 is 8694972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×27949680² = 1562369224204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 6156 + ... + 9684.

It is an arithmetic number, because the mean of its divisors is an integer number (853554).

Almost surely, 2^27949680 is an apocalyptic number.

27949680 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 27949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51213240).

27949680 is an abundant number, since it is smaller than the sum of its proper divisors (74476800).

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

27949680 is a wasteful number, since it uses less digits than its factorization.

27949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 27949680 is about 5286.7456908764. The cubic root of 27949680 is about 303.4768819688.

The spelling of 27949680 in words is "twenty-seven million, nine hundred forty-nine thousand, six hundred eighty".