4968720 has 120 divisors (see below), whose sum is σ = 17100096. Its totient is φ = 1292544.

The previous prime is 4968707. The next prime is 4968721. The reversal of 4968720 is 278694.

4968720 = T₂₀₁ + T₂₀₂ + ... + T₃₃₅.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁸ + 9⁷ + 6 + 8³ + 7⁶ + 2¹¹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (4968721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48189 + ... + 48291.

Almost surely, 2^4968720 is an apocalyptic number.

4968720 is a gapful number since it is divisible by the number (40) 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 4968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550048).

4968720 is an abundant number, since it is smaller than the sum of its proper divisors (12131376).

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

4968720 is a wasteful number, since it uses less digits than its factorization.

4968720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4968720 is about 2229.0625832399. The cubic root of 4968720 is about 170.6402614856.

It can be divided in two parts, 496 and 8720, that added together give a square (9216 = 96²).

The spelling of 4968720 in words is "four million, nine hundred sixty-eight thousand, seven hundred twenty".