4661600 has 36 divisors (see below), whose sum is σ = 11382084. Its totient is φ = 1864320.

The previous prime is 4661581. The next prime is 4661609. The reversal of 4661600 is 61664.

4661600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2114 + ... + 3713.

It is an arithmetic number, because the mean of its divisors is an integer number (316169).

Almost surely, 2^4661600 is an apocalyptic number.

4661600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4661600 is an abundant number, since it is smaller than the sum of its proper divisors (6720484).

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

4661600 is a wasteful number, since it uses less digits than its factorization.

4661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4661600 is about 2159.0738755309. The cubic root of 4661600 is about 167.0494313852.

The spelling of 4661600 in words is "four million, six hundred sixty-one thousand, six hundred".