1327504608 has 72 divisors (see below), whose sum is σ = 3828320496. Its totient is φ = 436262400.

The previous prime is 1327504603. The next prime is 1327504637. The reversal of 1327504608 is 8064057231.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1327504608² = 3524536968522467328, 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 (1327504603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12013 + ... + 52908.

It is an arithmetic number, because the mean of its divisors is an integer number (53171118).

Almost surely, 2^1327504608 is an apocalyptic number.

1327504608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1327504608 is an abundant number, since it is smaller than the sum of its proper divisors (2500815888).

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

1327504608 is a wasteful number, since it uses less digits than its factorization.

1327504608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65008 (or 64997 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1327504608 is about 36434.9366405377. The cubic root of 1327504608 is about 1099.0362379427.

The spelling of 1327504608 in words is "one billion, three hundred twenty-seven million, five hundred four thousand, six hundred eight".