4645680 has 80 divisors (see below), whose sum is σ = 15519840. Its totient is φ = 1142784.

The previous prime is 4645651. The next prime is 4645681. The reversal of 4645680 is 865464.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4645681) 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, 2376 + ... + 3864.

It is an arithmetic number, because the mean of its divisors is an integer number (193998).

Almost surely, 2^4645680 is an apocalyptic number.

4645680 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 4645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759920).

4645680 is an abundant number, since it is smaller than the sum of its proper divisors (10874160).

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

4645680 is a wasteful number, since it uses less digits than its factorization.

4645680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4645680 is about 2155.3839565145. The cubic root of 4645680 is about 166.8590489600.

The spelling of 4645680 in words is "four million, six hundred forty-five thousand, six hundred eighty".