661932000 has 336 divisors, whose sum is σ = 2449176912. Its totient is φ = 175737600.

The previous prime is 661931993. The next prime is 661932031. The reversal of 661932000 is 239166.

It is a happy number.

661932000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 55 ways as a sum of consecutive naturals, for example, 2915887 + ... + 2916113.

It is an arithmetic number, because the mean of its divisors is an integer number (7289217).

Almost surely, 2^661932000 is an apocalyptic number.

661932000 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 661932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224588456).

661932000 is an abundant number, since it is smaller than the sum of its proper divisors (1787244912).

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

661932000 is an equidigital number, since it uses as much as digits as its factorization.

661932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 661932000 is about 25728.0391790746. The cubic root of 661932000 is about 871.5074933960.

The spelling of 661932000 in words is "six hundred sixty-one million, nine hundred thirty-two thousand".