6001164240 has 80 divisors (see below), whose sum is σ = 18865685376. Its totient is φ = 1577766400.

The previous prime is 6001164227. The next prime is 6001164263. The reversal of 6001164240 is 424611006.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6001164240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159051 + ... + 193130.

Almost surely, 2^6001164240 is an apocalyptic number.

6001164240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6001164240 is an abundant number, since it is smaller than the sum of its proper divisors (12864521136).

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

6001164240 is a wasteful number, since it uses less digits than its factorization.

6001164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352268 (or 352262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6001164240 is about 77467.1816965094. The cubic root of 6001164240 is about 1817.2381165910.

Adding to 6001164240 its reverse (424611006), we get a palindrome (6425775246).

It can be divided in two parts, 60011 and 64240, that added together give a triangular number (124251 = T₄₉₈).

The spelling of 6001164240 in words is "six billion, one million, one hundred sixty-four thousand, two hundred forty".