4993968 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1402368.

The previous prime is 4993951. The next prime is 4993987. The reversal of 4993968 is 8693994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 29821 + ... + 29987.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^4993968 is an apocalyptic number.

4993968 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 4993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4993968 is an abundant number, since it is smaller than the sum of its proper divisors (10005072).

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

4993968 is a wasteful number, since it uses less digits than its factorization.

4993968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 4993968 is about 2234.7187742533. The cubic root of 4993968 is about 170.9288031642.

The spelling of 4993968 in words is "four million, nine hundred ninety-three thousand, nine hundred sixty-eight".