4940160 has 128 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1259520.

The previous prime is 4940153. The next prime is 4940161. The reversal of 4940160 is 610494.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4940160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4940161) 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, 59479 + ... + 59561.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 2^4940160 is an apocalyptic number.

4940160 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 4940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

4940160 is an abundant number, since it is smaller than the sum of its proper divisors (11510400).

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

4940160 is a wasteful number, since it uses less digits than its factorization.

4940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4940160 is about 2222.6470704995. The cubic root of 4940160 is about 170.3126886343.

The spelling of 4940160 in words is "four million, nine hundred forty thousand, one hundred sixty".