601601000 has 256 divisors, whose sum is σ = 1893265920. Its totient is φ = 172800000.

The previous prime is 601600999. The next prime is 601601017. The reversal of 601601000 is 106106.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000700 + ... + 1001300.

It is an arithmetic number, because the mean of its divisors is an integer number (7395570).

Almost surely, 2^601601000 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 601601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946632960).

601601000 is an abundant number, since it is smaller than the sum of its proper divisors (1291664920).

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

601601000 is a wasteful number, since it uses less digits than its factorization.

601601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 601601000 is about 24527.5559320532. Note that the first 3 decimals coincide. The cubic root of 601601000 is about 844.1821855383.

Adding to 601601000 its reverse (106106), we get a palindrome (601707106).

The spelling of 601601000 in words is "six hundred one million, six hundred one thousand".