601161000 has 128 divisors (see below), whose sum is σ = 2046245760. Its totient is φ = 145728000.

The previous prime is 601160999. The next prime is 601161031. The reversal of 601161000 is 161106.

It is a super-2 number, since 2×601161000² = 722789095842000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 23892 + ... + 42108.

It is an arithmetic number, because the mean of its divisors is an integer number (15986295).

Almost surely, 2^601161000 is an apocalyptic number.

601161000 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 601161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023122880).

601161000 is an abundant number, since it is smaller than the sum of its proper divisors (1445084760).

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

601161000 is a wasteful number, since it uses less digits than its factorization.

601161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18252 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 601161000 is about 24518.5847878706. The cubic root of 601161000 is about 843.9763288585.

It can be divided in two parts, 60116 and 1000, that added together give a palindrome (61116).

The spelling of 601161000 in words is "six hundred one million, one hundred sixty-one thousand".