659980800 has 360 divisors, whose sum is σ = 2508244596. Its totient is φ = 165150720.

The previous prime is 659980799. The next prime is 659980801. The reversal of 659980800 is 8089956.

It is an interprime number because it is at equal distance from previous prime (659980799) and next prime (659980801).

It can be written as a sum of positive squares in 6 ways, for example, as 255488256 + 404492544 = 15984^2 + 20112^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (659980801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1958232 + ... + 1958568.

Almost surely, 2^659980800 is an apocalyptic number.

659980800 is a gapful number since it is divisible by the number (60) 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 659980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254122298).

659980800 is an abundant number, since it is smaller than the sum of its proper divisors (1848263796).

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

659980800 is a wasteful number, since it uses less digits than its factorization.

659980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 659980800 is about 25690.0914751194. The cubic root of 659980800 is about 870.6503262838.

The spelling of 659980800 in words is "six hundred fifty-nine million, nine hundred eighty thousand, eight hundred".