661134000 has 160 divisors (see below), whose sum is σ = 2144862720. Its totient is φ = 175200000.

The previous prime is 661133971. The next prime is 661134109. The reversal of 661134000 is 431166.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505781 + ... + 1506219.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2^661134000 is an apocalyptic number.

661134000 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 661134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

661134000 is an abundant number, since it is smaller than the sum of its proper divisors (1483728720).

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

661134000 is a wasteful number, since it uses less digits than its factorization.

661134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 661134000 is about 25712.5261302735. The cubic root of 661134000 is about 871.1571338215.

Adding to 661134000 its reverse (431166), we get a palindrome (661565166).

The spelling of 661134000 in words is "six hundred sixty-one million, one hundred thirty-four thousand".