1664579840 has 144 divisors (see below), whose sum is σ = 4971335040. Its totient is φ = 518799360.

The previous prime is 1664579827. The next prime is 1664579867. The reversal of 1664579840 is 489754661.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90116 + ... + 107004.

It is an arithmetic number, because the mean of its divisors is an integer number (34523160).

Almost surely, 2^1664579840 is an apocalyptic number.

1664579840 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 1664579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485667520).

1664579840 is an abundant number, since it is smaller than the sum of its proper divisors (3306755200).

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

1664579840 is a wasteful number, since it uses less digits than its factorization.

1664579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16928 (or 16914 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 1664579840 is about 40799.2627384368. The cubic root of 1664579840 is about 1185.1360535034.

The spelling of 1664579840 in words is "one billion, six hundred sixty-four million, five hundred seventy-nine thousand, eight hundred forty".