27906480 has 240 divisors, whose sum is σ = 110260800. Its totient is φ = 6322176.

The previous prime is 27906467. The next prime is 27906481. The reversal of 27906480 is 8460972.

27906480 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×27906480³ (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27906481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246904 + ... + 247016.

It is an arithmetic number, because the mean of its divisors is an integer number (459420).

Almost surely, 2^27906480 is an apocalyptic number.

27906480 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 27906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55130400).

27906480 is an abundant number, since it is smaller than the sum of its proper divisors (82354320).

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

27906480 is a wasteful number, since it uses less digits than its factorization.

27906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27906480 is about 5282.6584216661. The cubic root of 27906480 is about 303.3204465268.

The spelling of 27906480 in words is "twenty-seven million, nine hundred six thousand, four hundred eighty".