4976680 has 32 divisors (see below), whose sum is σ = 11340000. Its totient is φ = 1965376.

The previous prime is 4976663. The next prime is 4976683. The reversal of 4976680 is 866794.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4976683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2571 + ... + 4069.

It is an arithmetic number, because the mean of its divisors is an integer number (354375).

Almost surely, 2^4976680 is an apocalyptic number.

4976680 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 4976680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670000).

4976680 is an abundant number, since it is smaller than the sum of its proper divisors (6363320).

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

4976680 is a wasteful number, since it uses less digits than its factorization.

4976680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 4976680 is about 2230.8473726367. The cubic root of 4976680 is about 170.7313360337.

It can be divided in two parts, 49 and 76680, that added together give a square (76729 = 277²).

The spelling of 4976680 in words is "four million, nine hundred seventy-six thousand, six hundred eighty".