2161600 has 84 divisors (see below), whose sum is σ = 6110224. Its totient is φ = 737280.

The previous prime is 2161591. The next prime is 2161613. The reversal of 2161600 is 61612.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11104 + ... + 11296.

2^2161600 is an apocalyptic number.

2161600 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 2161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055112).

2161600 is an abundant number, since it is smaller than the sum of its proper divisors (3948624).

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

2161600 is a wasteful number, since it uses less digits than its factorization.

2161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2161600 is about 1470.2380759591. The cubic root of 2161600 is about 129.2979910752.

The spelling of 2161600 in words is "two million, one hundred sixty-one thousand, six hundred".