1664680032 has 96 divisors (see below), whose sum is σ = 4973844960. Its totient is φ = 541347840.

The previous prime is 1664680019. The next prime is 1664680037. The reversal of 1664680032 is 2300864661.

1664680032 is a `hidden beast` number, since 1 + 6 + 646 + 8 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (1664680037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11928 + ... + 58920.

It is an arithmetic number, because the mean of its divisors is an integer number (51810885).

Almost surely, 2^1664680032 is an apocalyptic number.

1664680032 is a gapful number since it is divisible by the number (12) 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 1664680032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486922480).

1664680032 is an abundant number, since it is smaller than the sum of its proper divisors (3309164928).

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

1664680032 is a wasteful number, since it uses less digits than its factorization.

1664680032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47053 (or 47039 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1664680032 is about 40800.4905852859. The cubic root of 1664680032 is about 1185.1598310290.

The spelling of 1664680032 in words is "one billion, six hundred sixty-four million, six hundred eighty thousand, thirty-two".