4935600 has 120 divisors (see below), whose sum is σ = 17605520. Its totient is φ = 1313280.

The previous prime is 4935569. The next prime is 4935607. The reversal of 4935600 is 65394.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4935607) 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, 10572 + ... + 11028.

Almost surely, 2^4935600 is an apocalyptic number.

4935600 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 4935600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802760).

4935600 is an abundant number, since it is smaller than the sum of its proper divisors (12669920).

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

4935600 is a wasteful number, since it uses less digits than its factorization.

4935600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4935600 is about 2221.6210297888. The cubic root of 4935600 is about 170.2602702958.

The spelling of 4935600 in words is "four million, nine hundred thirty-five thousand, six hundred".