601661000 has 64 divisors (see below), whose sum is σ = 1421297280. Its totient is φ = 238372800.

The previous prime is 601660951. The next prime is 601661009. The reversal of 601661000 is 166106.

601661000 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 (20).

It is not an unprimeable number, because it can be changed into a prime (601661009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104189 + ... + 109811.

It is an arithmetic number, because the mean of its divisors is an integer number (22207770).

Almost surely, 2^601661000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710648640).

601661000 is an abundant number, since it is smaller than the sum of its proper divisors (819636280).

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

601661000 is a wasteful number, since it uses less digits than its factorization.

601661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 601661000 is about 24528.7790156787. The cubic root of 601661000 is about 844.2102491261.

The spelling of 601661000 in words is "six hundred one million, six hundred sixty-one thousand".