4617640 has 32 divisors (see below), whose sum is σ = 10550880. Its totient is φ = 1818432.

The previous prime is 4617617. The next prime is 4617643. The reversal of 4617640 is 467164.

It is a junction number, because it is equal to n+sod(n) for n = 4617599 and 4617608.

It is not an unprimeable number, because it can be changed into a prime (4617643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1819 + ... + 3541.

It is an arithmetic number, because the mean of its divisors is an integer number (329715).

Almost surely, 2^4617640 is an apocalyptic number.

4617640 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 4617640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275440).

4617640 is an abundant number, since it is smaller than the sum of its proper divisors (5933240).

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

4617640 is a wasteful number, since it uses less digits than its factorization.

4617640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4617640 is about 2148.8694702099. The cubic root of 4617640 is about 166.5226667311.

The spelling of 4617640 in words is "four million, six hundred seventeen thousand, six hundred forty".