4768140 has 48 divisors (see below), whose sum is σ = 14380128. Its totient is φ = 1173504.

The previous prime is 4768139. The next prime is 4768163. The reversal of 4768140 is 418674.

4768140 = 221² + 222² + ... + 292².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4768098 and 4768107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 3836.

It is an arithmetic number, because the mean of its divisors is an integer number (299586).

Almost surely, 2^4768140 is an apocalyptic number.

It is an amenable number.

4768140 is an abundant number, since it is smaller than the sum of its proper divisors (9611988).

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

4768140 is a wasteful number, since it uses less digits than its factorization.

4768140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4768140 is about 2183.6071075173. The cubic root of 4768140 is about 168.3124853005.

The spelling of 4768140 in words is "four million, seven hundred sixty-eight thousand, one hundred forty".