601264272 has 120 divisors (see below), whose sum is σ = 1873886016. Its totient is φ = 162715392.

The previous prime is 601264259. The next prime is 601264273. The reversal of 601264272 is 272462106.

It is not an unprimeable number, because it can be changed into a prime (601264273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118818 + ... + 123774.

Almost surely, 2^601264272 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 601264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936943008).

601264272 is an abundant number, since it is smaller than the sum of its proper divisors (1272621744).

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

601264272 is a wasteful number, since it uses less digits than its factorization.

601264272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 601264272 is about 24520.6906917403. The cubic root of 601264272 is about 844.0246543115.

The spelling of 601264272 in words is "six hundred one million, two hundred sixty-four thousand, two hundred seventy-two".