4646640 has 80 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1172736.

The previous prime is 4646633. The next prime is 4646647. The reversal of 4646640 is 466464.

4646640 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4646633) and next prime (4646647).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 4646598 and 4646607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4646647) 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, 4051 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 2^4646640 is an apocalyptic number.

4646640 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 4646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

4646640 is an abundant number, since it is smaller than the sum of its proper divisors (10530960).

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

4646640 is a wasteful number, since it uses less digits than its factorization.

4646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

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

The square root of 4646640 is about 2155.6066431518. The cubic root of 4646640 is about 166.8705416194.

The spelling of 4646640 in words is "four million, six hundred forty-six thousand, six hundred forty".