4972968 has 256 divisors, whose sum is σ = 19353600. Its totient is φ = 1140480.

The previous prime is 4972951. The next prime is 4972969. The reversal of 4972968 is 8692794.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (4972969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216205 + ... + 216227.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

Almost surely, 2^4972968 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 4972968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

4972968 is an abundant number, since it is smaller than the sum of its proper divisors (14380632).

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

4972968 is a wasteful number, since it uses less digits than its factorization.

4972968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 4972968 is about 2230.0152465847. The cubic root of 4972968 is about 170.6888771821.

The spelling of 4972968 in words is "four million, nine hundred seventy-two thousand, nine hundred sixty-eight".