4664640 has 112 divisors (see below), whose sum is σ = 15288768. Its totient is φ = 1204224.

The previous prime is 4664603. The next prime is 4664641. The reversal of 4664640 is 464664.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4664598 and 4664607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41224 + ... + 41336.

Almost surely, 2^4664640 is an apocalyptic number.

4664640 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 4664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644384).

4664640 is an abundant number, since it is smaller than the sum of its proper divisors (10624128).

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

4664640 is a wasteful number, since it uses less digits than its factorization.

4664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4664640 is about 2159.7777663454. Note that the first 4 decimals coincide. The cubic root of 4664640 is about 167.0857365107.

The spelling of 4664640 in words is "four million, six hundred sixty-four thousand, six hundred forty".