27913680 has 80 divisors (see below), whose sum is σ = 96154560. Its totient is φ = 7443072.

The previous prime is 27913657. The next prime is 27913681. The reversal of 27913680 is 8631972.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27913680² = 1558347062284800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27913681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4302 + ... + 8621.

It is an arithmetic number, because the mean of its divisors is an integer number (1201932).

Almost surely, 2^27913680 is an apocalyptic number.

27913680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27913680 is an abundant number, since it is smaller than the sum of its proper divisors (68240880).

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

27913680 is a wasteful number, since it uses less digits than its factorization.

27913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12945 (or 12933 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 27913680 is about 5283.3398527825. The cubic root of 27913680 is about 303.3465303064.

The spelling of 27913680 in words is "twenty-seven million, nine hundred thirteen thousand, six hundred eighty".