6002640 has 160 divisors (see below), whose sum is σ = 23688960. Its totient is φ = 1368576.

The previous prime is 6002629. The next prime is 6002641. The reversal of 6002640 is 462006.

6002640 = T₁₉₀ + T₁₉₁ + ... + T₃₄₉.

6002640 is a `hidden beast` number, since 600 + 2 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14922 + ... + 15318.

It is an arithmetic number, because the mean of its divisors is an integer number (148056).

Almost surely, 2^6002640 is an apocalyptic number.

6002640 is a gapful number since it is divisible by the number (60) 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 6002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844480).

6002640 is an abundant number, since it is smaller than the sum of its proper divisors (17686320).

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

6002640 is a wasteful number, since it uses less digits than its factorization.

6002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

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

The square root of 6002640 is about 2450.0285712620. The cubic root of 6002640 is about 181.7387064774.

Adding to 6002640 its reverse (462006), we get a palindrome (6464646).

It can be divided in two parts, 600 and 2640, that added together give a triangular number (3240 = T₈₀).

The spelling of 6002640 in words is "six million, two thousand, six hundred forty".