601661100 has 144 divisors (see below), whose sum is σ = 1805884416. Its totient is φ = 154560000.

The previous prime is 601661063. The next prime is 601661111. The reversal of 601661100 is 1166106.

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, 1000800 + ... + 1001400.

It is an arithmetic number, because the mean of its divisors is an integer number (12540864).

Almost surely, 2^601661100 is an apocalyptic number.

601661100 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 601661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902942208).

601661100 is an abundant number, since it is smaller than the sum of its proper divisors (1204223316).

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

601661100 is a wasteful number, since it uses less digits than its factorization.

601661100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 601661100 is about 24528.7810541005. The cubic root of 601661100 is about 844.2102958972.

The spelling of 601661100 in words is "six hundred one million, six hundred sixty-one thousand, one hundred".