601164000 has 144 divisors (see below), whose sum is σ = 2133658800. Its totient is φ = 160300800.

The previous prime is 601163987. The next prime is 601164061. The reversal of 601164000 is 461106.

601164000 is a `hidden beast` number, since 601 + 1 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×601164000² = 722796309792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27651 + ... + 44349.

It is an arithmetic number, because the mean of its divisors is an integer number (14817075).

Almost surely, 2^601164000 is an apocalyptic number.

601164000 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 601164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066829400).

601164000 is an abundant number, since it is smaller than the sum of its proper divisors (1532494800).

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

601164000 is a wasteful number, since it uses less digits than its factorization.

601164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16730 (or 16709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 601164000 is about 24518.6459658767. The cubic root of 601164000 is about 843.9777327668.

The spelling of 601164000 in words is "six hundred one million, one hundred sixty-four thousand".