661433160 has 128 divisors (see below), whose sum is σ = 2082412800. Its totient is φ = 167838720.

The previous prime is 661433159. The next prime is 661433221. The reversal of 661433160 is 61334166.

661433160 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245742 + ... + 248418.

It is an arithmetic number, because the mean of its divisors is an integer number (16268850).

Almost surely, 2^661433160 is an apocalyptic number.

661433160 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 661433160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041206400).

661433160 is an abundant number, since it is smaller than the sum of its proper divisors (1420979640).

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

661433160 is a wasteful number, since it uses less digits than its factorization.

661433160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 661433160 is about 25718.3428704106. The cubic root of 661433160 is about 871.2885121649.

The spelling of 661433160 in words is "six hundred sixty-one million, four hundred thirty-three thousand, one hundred sixty".