4923968 has 56 divisors (see below), whose sum is σ = 11582400. Its totient is φ = 2032128.

The previous prime is 4923967. The next prime is 4923979. The reversal of 4923968 is 8693294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×4923968³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4923967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12803 + ... + 13181.

Almost surely, 2^4923968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791200).

4923968 is an abundant number, since it is smaller than the sum of its proper divisors (6658432).

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

4923968 is a wasteful number, since it uses less digits than its factorization.

4923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 4923968 is about 2219.0015772865. The cubic root of 4923968 is about 170.1264111683.

The spelling of 4923968 in words is "four million, nine hundred twenty-three thousand, nine hundred sixty-eight".