2985660 has 120 divisors (see below), whose sum is σ = 9960720. Its totient is φ = 746496.

The previous prime is 2985629. The next prime is 2985667. The reversal of 2985660 is 665892.

2985660 is a `hidden beast` number, since 2 + 98 + 566 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30732 + ... + 30828.

It is an arithmetic number, because the mean of its divisors is an integer number (83006).

2^2985660 is an apocalyptic number.

2985660 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 2985660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980360).

2985660 is an abundant number, since it is smaller than the sum of its proper divisors (6975060).

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

2985660 is a wasteful number, since it uses less digits than its factorization.

2985660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2985660 is about 1727.9062474567. The cubic root of 2985660 is about 143.9947914783.

The spelling of 2985660 in words is "two million, nine hundred eighty-five thousand, six hundred sixty".