4967600 has 60 divisors (see below), whose sum is σ = 13031160. Its totient is φ = 1804800.

The previous prime is 4967579. The next prime is 4967617. The reversal of 4967600 is 67694.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3836 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (217186).

Almost surely, 2^4967600 is an apocalyptic number.

4967600 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 4967600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515580).

4967600 is an abundant number, since it is smaller than the sum of its proper divisors (8063560).

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

4967600 is a wasteful number, since it uses less digits than its factorization.

4967600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 4967600 is about 2228.8113423976. The cubic root of 4967600 is about 170.6274391722.

It can be divided in two parts, 49 and 67600, that multiplied together give a square (3312400 = 1820²).

The spelling of 4967600 in words is "four million, nine hundred sixty-seven thousand, six hundred".