660528000 has 512 divisors, whose sum is σ = 2673216000. Its totient is φ = 158976000.

The previous prime is 660527993. The next prime is 660528019. The reversal of 660528000 is 825066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751931 + ... + 4752069.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2^660528000 is an apocalyptic number.

660528000 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 660528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608000).

660528000 is an abundant number, since it is smaller than the sum of its proper divisors (2012688000).

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

660528000 is a wasteful number, since it uses less digits than its factorization.

660528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 660528000 is about 25700.7392889777. The cubic root of 660528000 is about 870.8908829031.

The spelling of 660528000 in words is "six hundred sixty million, five hundred twenty-eight thousand".