601161264 has 100 divisors (see below), whose sum is σ = 1898156040. Its totient is φ = 182165760.

The previous prime is 601161263. The next prime is 601161277. The reversal of 601161264 is 462161106.

It is a super-2 number, since 2×601161264² = 722789730668155392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (601161263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6829 + ... + 35340.

Almost surely, 2^601161264 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 601161264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949078020).

601161264 is an abundant number, since it is smaller than the sum of its proper divisors (1296994776).

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

601161264 is a wasteful number, since it uses less digits than its factorization.

601161264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42200 (or 42185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 601161264 is about 24518.5901715413. The cubic root of 601161264 is about 843.9764524026.

The spelling of 601161264 in words is "six hundred one million, one hundred sixty-one thousand, two hundred sixty-four".