601189952 has 84 divisors (see below), whose sum is σ = 1357022940. Its totient is φ = 263746560.

The previous prime is 601189951. The next prime is 601189969. The reversal of 601189952 is 259981106.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 124902976 + 476286976 = 11176^2 + 21824^2 .

It is a super-2 number, since 2×601189952² = 722858716771524608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601189951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223238 + ... + 225914.

It is an arithmetic number, because the mean of its divisors is an integer number (16155035).

Almost surely, 2^601189952 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 601189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678511470).

601189952 is an abundant number, since it is smaller than the sum of its proper divisors (755832988).

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

601189952 is a wasteful number, since it uses less digits than its factorization.

601189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 601189952 is about 24519.1751900426. The cubic root of 601189952 is about 843.9898773147.

The spelling of 601189952 in words is "six hundred one million, one hundred eighty-nine thousand, nine hundred fifty-two".