4771968 has 96 divisors (see below), whose sum is σ = 13778160. Its totient is φ = 1462272.

The previous prime is 4771967. The next prime is 4771973. The reversal of 4771968 is 8691774.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4771967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110955 + ... + 110997.

Almost surely, 2^4771968 is an apocalyptic number.

4771968 is a gapful number since it is divisible by the number (48) 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 4771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889080).

4771968 is an abundant number, since it is smaller than the sum of its proper divisors (9006192).

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

4771968 is a wasteful number, since it uses less digits than its factorization.

4771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 4771968 is about 2184.4834629724. The cubic root of 4771968 is about 168.3575152877.

The spelling of 4771968 in words is "four million, seven hundred seventy-one thousand, nine hundred sixty-eight".