1664013600 has 216 divisors, whose sum is σ = 5898372480. Its totient is φ = 441423360.

The previous prime is 1664013587. The next prime is 1664013623. The reversal of 1664013600 is 63104661.

1664013600 is a `hidden beast` number, since 1 + 6 + 6 + 40 + 13 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1720317 + ... + 1721283.

It is an arithmetic number, because the mean of its divisors is an integer number (27307280).

Almost surely, 2^1664013600 is an apocalyptic number.

1664013600 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 1664013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949186240).

1664013600 is an abundant number, since it is smaller than the sum of its proper divisors (4234358880).

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

1664013600 is a wasteful number, since it uses less digits than its factorization.

1664013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1664013600 is about 40792.3228071165. The cubic root of 1664013600 is about 1185.0016557153.

The spelling of 1664013600 in words is "one billion, six hundred sixty-four million, thirteen thousand, six hundred".