4640 has 24 divisors (see below), whose sum is σ = 11340.
Its totient is φ = 1792.
The previous prime is 4639. The next prime is 4643. The reversal of 4640 is 464.
4640 = T17 + T18 + ... +
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 16 = 68^2 + 4^2
4640 is an undulating number in base 12.
It is not an unprimeable number, because it can be changed into a prime (4643) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146 + ... + 174.
4640 is a gapful number since it is divisible by the number (40) 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 4640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670).
4640 is an abundant number, since it is smaller than the sum of its proper divisors (6700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4640 is a wasteful number, since it uses less digits than its factorization.
4640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 4640 is about 68.1175454637.
The cubic root of 4640 is about 16.6791018308.
The spelling of 4640 in words is "four thousand, six hundred forty".