27152064 has 112 divisors (see below), whose sum is σ = 84124800. Its totient is φ = 8563968.

The previous prime is 27152057. The next prime is 27152089. The reversal of 27152064 is 46025172.

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

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, 32419 + ... + 33245.

Almost surely, 2^27152064 is an apocalyptic number.

27152064 is a gapful number since it is divisible by the number (24) 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 27152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42062400).

27152064 is an abundant number, since it is smaller than the sum of its proper divisors (56972736).

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

27152064 is a wasteful number, since it uses less digits than its factorization.

27152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 27152064 is about 5210.7642433716. The cubic root of 27152064 is about 300.5621459817.

The spelling of 27152064 in words is "twenty-seven million, one hundred fifty-two thousand, sixty-four".