2985600 has 96 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 793600.

The previous prime is 2985583. The next prime is 2985601. The reversal of 2985600 is 65892.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2985601) 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, 9445 + ... + 9755.

It is an arithmetic number, because the mean of its divisors is an integer number (102765).

2^2985600 is an apocalyptic number.

2985600 is a gapful number since it is divisible by the number (20) 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 2985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

2985600 is an abundant number, since it is smaller than the sum of its proper divisors (6879840).

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

2985600 is a wasteful number, since it uses less digits than its factorization.

2985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2985600 is about 1727.8888853164. Note that the first 5 decimals coincide. The cubic root of 2985600 is about 143.9938268959.

The spelling of 2985600 in words is "two million, nine hundred eighty-five thousand, six hundred".