1664932920 has 256 divisors, whose sum is σ = 6052838400. Its totient is φ = 358256640.

The previous prime is 1664932897. The next prime is 1664932921. The reversal of 1664932920 is 292394661.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664932921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 997927 + ... + 999593.

It is an arithmetic number, because the mean of its divisors is an integer number (23643900).

Almost surely, 2^1664932920 is an apocalyptic number.

1664932920 is a gapful number since it is divisible by the number (10) 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 1664932920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026419200).

1664932920 is an abundant number, since it is smaller than the sum of its proper divisors (4387905480).

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

1664932920 is a wasteful number, since it uses less digits than its factorization.

1664932920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 1664932920 is about 40803.5895479797. The cubic root of 1664932920 is about 1185.2198420657.

The spelling of 1664932920 in words is "one billion, six hundred sixty-four million, nine hundred thirty-two thousand, nine hundred twenty".