660004800 has 336 divisors, whose sum is σ = 2666829312. Its totient is φ = 139161600.

The previous prime is 660004777. The next prime is 660004837. The reversal of 660004800 is 8400066.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436045 + ... + 437555.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^660004800 is an apocalyptic number.

660004800 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 660004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333414656).

660004800 is an abundant number, since it is smaller than the sum of its proper divisors (2006824512).

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

660004800 is a wasteful number, since it uses less digits than its factorization.

660004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 660004800 is about 25690.5585770337. The cubic root of 660004800 is about 870.6608798002.

Adding to 660004800 its reverse (8400066), we get a palindrome (668404866).

The spelling of 660004800 in words is "six hundred sixty million, four thousand, eight hundred".