6002964 has 96 divisors (see below), whose sum is σ = 17633280. Its totient is φ = 1749600.

The previous prime is 6002951. The next prime is 6002987. The reversal of 6002964 is 4692006.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36747 + ... + 36909.

It is an arithmetic number, because the mean of its divisors is an integer number (183680).

Almost surely, 2^6002964 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 6002964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816640).

6002964 is an abundant number, since it is smaller than the sum of its proper divisors (11630316).

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

6002964 is a wasteful number, since it uses less digits than its factorization.

6002964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6002964 is about 2450.0946920476. The cubic root of 6002964 is about 181.7419762765.

The spelling of 6002964 in words is "six million, two thousand, nine hundred sixty-four".