1328564016 has 60 divisors (see below), whose sum is σ = 4004149968. Its totient is φ = 408788352.

The previous prime is 1328563969. The next prime is 1328564021. The reversal of 1328564016 is 6104658231.

It is a happy number.

1328564016 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 5 + 640 + 1 + 6 = 666.

It is a super-2 number, since 2×1328564016² = 3530164689220096512, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352980 + ... + 356723.

Almost surely, 2^1328564016 is an apocalyptic number.

1328564016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1328564016 is an abundant number, since it is smaller than the sum of its proper divisors (2675585952).

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

1328564016 is a wasteful number, since it uses less digits than its factorization.

1328564016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709730 (or 709721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1328564016 is about 36449.4720949426. The cubic root of 1328564016 is about 1099.3285202154.

The spelling of 1328564016 in words is "one billion, three hundred twenty-eight million, five hundred sixty-four thousand, sixteen".