601331136 has 224 divisors, whose sum is σ = 1940966400. Its totient is φ = 163924992.

The previous prime is 601331069. The next prime is 601331147. The reversal of 601331136 is 631133106.

601331136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1514490 + ... + 1514886.

Almost surely, 2^601331136 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 601331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970483200).

601331136 is an abundant number, since it is smaller than the sum of its proper divisors (1339635264).

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

601331136 is a wasteful number, since it uses less digits than its factorization.

601331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 601331136 is about 24522.0540738332. The cubic root of 601331136 is about 844.0559399293.

The spelling of 601331136 in words is "six hundred one million, three hundred thirty-one thousand, one hundred thirty-six".