4868160 has 112 divisors (see below), whose sum is σ = 16898112. Its totient is φ = 1177600.

The previous prime is 4868141. The next prime is 4868167. The reversal of 4868160 is 618684.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4868167) 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, 10330 + ... + 10790.

It is an arithmetic number, because the mean of its divisors is an integer number (150876).

Almost surely, 2^4868160 is an apocalyptic number.

4868160 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 4868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449056).

4868160 is an abundant number, since it is smaller than the sum of its proper divisors (12029952).

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

4868160 is a wasteful number, since it uses less digits than its factorization.

4868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4868160 is about 2206.3907178920. The cubic root of 4868160 is about 169.4812328575.

It can be divided in two parts, 486 and 8160, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 4868160 in words is "four million, eight hundred sixty-eight thousand, one hundred sixty".