320624001 has 40 divisors (see below), whose sum is σ = 489893184. Its totient is φ = 208928160.

The previous prime is 320623973. The next prime is 320624009. The reversal of 320624001 is 100426023.

It is a happy number.

It is not a de Polignac number, because 320624001 - 2⁵ = 320623969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320624009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1132806 + ... + 1133088.

Almost surely, 2^320624001 is an apocalyptic number.

It is an amenable number.

320624001 is a deficient number, since it is larger than the sum of its proper divisors (169269183).

320624001 is a wasteful number, since it uses less digits than its factorization.

320624001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320624001 is about 17905.9766837780. The cubic root of 320624001 is about 684.4346844551.

It can be divided in two parts, 32062 and 4001, that added together give a palindrome (36063).

The spelling of 320624001 in words is "three hundred twenty million, six hundred twenty-four thousand, one".