4656080 has 120 divisors (see below), whose sum is σ = 13160616. Its totient is φ = 1520640.

The previous prime is 4656077. The next prime is 4656089. The reversal of 4656080 is 806564.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 4096576 = 748^2 + 2024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125822 + ... + 125858.

Almost surely, 2^4656080 is an apocalyptic number.

4656080 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 4656080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580308).

4656080 is an abundant number, since it is smaller than the sum of its proper divisors (8504536).

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

4656080 is a wasteful number, since it uses less digits than its factorization.

4656080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4656080 is about 2157.7951710021. The cubic root of 4656080 is about 166.9834685490.

The spelling of 4656080 in words is "four million, six hundred fifty-six thousand, eighty".