1664509032 has 96 divisors (see below), whose sum is σ = 4788201600. Its totient is φ = 520561152.

The previous prime is 1664508991. The next prime is 1664509139. The reversal of 1664509032 is 2309054661.

It is a happy number.

1664509032 is a `hidden beast` number, since 1 + 6 + 645 + 0 + 9 + 0 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422769 + ... + 426687.

It is an arithmetic number, because the mean of its divisors is an integer number (49877100).

Almost surely, 2^1664509032 is an apocalyptic number.

1664509032 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 1664509032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394100800).

1664509032 is an abundant number, since it is smaller than the sum of its proper divisors (3123692568).

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

1664509032 is a wasteful number, since it uses less digits than its factorization.

1664509032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1664509032 is about 40798.3949684298. The cubic root of 1664509032 is about 1185.1192488016.

The spelling of 1664509032 in words is "one billion, six hundred sixty-four million, five hundred nine thousand, thirty-two".