1664028072 has 96 divisors (see below), whose sum is σ = 5156236800. Its totient is φ = 474913152.

The previous prime is 1664028029. The next prime is 1664028077. The reversal of 1664028072 is 2708204661.

1664028072 is a `hidden beast` number, since 1 + 6 + 640 + 2 + 8 + 0 + 7 + 2 = 666.

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 (1664028077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885598 + ... + 887474.

It is an arithmetic number, because the mean of its divisors is an integer number (53710800).

Almost surely, 2^1664028072 is an apocalyptic number.

1664028072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1664028072 is an abundant number, since it is smaller than the sum of its proper divisors (3492208728).

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

1664028072 is a wasteful number, since it uses less digits than its factorization.

1664028072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1664028072 is about 40792.5001930502. The cubic root of 1664028072 is about 1185.0050910426.

The spelling of 1664028072 in words is "one billion, six hundred sixty-four million, twenty-eight thousand, seventy-two".