4956160 has 84 divisors (see below), whose sum is σ = 13073634. Its totient is φ = 1802240.

The previous prime is 4956157. The next prime is 4956173. The reversal of 4956160 is 616594.

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 495616 = 2112^2 + 704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 450555 + ... + 450565.

Almost surely, 2^4956160 is an apocalyptic number.

4956160 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 4956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536817).

4956160 is an abundant number, since it is smaller than the sum of its proper divisors (8117474).

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

4956160 is an equidigital number, since it uses as much as digits as its factorization.

4956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 4956160 is about 2226.2434727585. The cubic root of 4956160 is about 170.4963578827.

The spelling of 4956160 in words is "four million, nine hundred fifty-six thousand, one hundred sixty".