4965600 has 72 divisors (see below), whose sum is σ = 16170840. Its totient is φ = 1323520.

The previous prime is 4965599. The next prime is 4965601. The reversal of 4965600 is 65694.

It is an interprime number because it is at equal distance from previous prime (4965599) and next prime (4965601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1366 + ... + 3434.

It is an arithmetic number, because the mean of its divisors is an integer number (224595).

Almost surely, 2^4965600 is an apocalyptic number.

4965600 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 4965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085420).

4965600 is an abundant number, since it is smaller than the sum of its proper divisors (11205240).

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

4965600 is a wasteful number, since it uses less digits than its factorization.

4965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4965600 is about 2228.3626275811. The cubic root of 4965600 is about 170.6045373896.

It can be divided in two parts, 4965 and 600, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 4965600 in words is "four million, nine hundred sixty-five thousand, six hundred".