1664588400 has 240 divisors, whose sum is σ = 5697730560. Its totient is φ = 414489600.

The previous prime is 1664588389. The next prime is 1664588411. The reversal of 1664588400 is 48854661.

1664588400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1664588389) and next prime (1664588411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078029 + ... + 1079571.

It is an arithmetic number, because the mean of its divisors is an integer number (23740544).

Almost surely, 2^1664588400 is an apocalyptic number.

1664588400 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 1664588400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848865280).

1664588400 is an abundant number, since it is smaller than the sum of its proper divisors (4033142160).

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

1664588400 is a wasteful number, since it uses less digits than its factorization.

1664588400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 1664588400 is about 40799.3676421584. The cubic root of 1664588400 is about 1185.1380849965.

The spelling of 1664588400 in words is "one billion, six hundred sixty-four million, five hundred eighty-eight thousand, four hundred".