601323264 has 180 divisors, whose sum is σ = 1834154784. Its totient is φ = 195858432.

The previous prime is 601323259. The next prime is 601323287. The reversal of 601323264 is 462323106.

601323264 is a `hidden beast` number, since 601 + 32 + 3 + 26 + 4 = 666.

601323264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601323264² = 723179335655227392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 974284 + ... + 974900.

Almost surely, 2^601323264 is an apocalyptic number.

601323264 is a gapful number since it is divisible by the number (64) 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 601323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917077392).

601323264 is an abundant number, since it is smaller than the sum of its proper divisors (1232831520).

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

601323264 is an equidigital number, since it uses as much as digits as its factorization.

601323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 601323264 is about 24521.8935647311. The cubic root of 601323264 is about 844.0522567466.

The spelling of 601323264 in words is "six hundred one million, three hundred twenty-three thousand, two hundred sixty-four".