27600480 has 96 divisors (see below), whose sum is σ = 96616800. Its totient is φ = 7358976.

The previous prime is 27600457. The next prime is 27600493. The reversal of 27600480 is 8400672.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126 + ... + 7514.

It is an arithmetic number, because the mean of its divisors is an integer number (1006425).

Almost surely, 2^27600480 is an apocalyptic number.

27600480 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 27600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48308400).

27600480 is an abundant number, since it is smaller than the sum of its proper divisors (69016320).

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

27600480 is a wasteful number, since it uses less digits than its factorization.

27600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27600480 is about 5253.6158976461. The cubic root of 27600480 is about 302.2077134839.

The spelling of 27600480 in words is "twenty-seven million, six hundred thousand, four hundred eighty".