2161632 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 619520.

The previous prime is 2161613. The next prime is 2161633. The reversal of 2161632 is 2361612.

It is a happy number.

2161632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2161599 and 2161608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24244 + ... + 24332.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2^2161632 is an apocalyptic number.

2161632 is a gapful number since it is divisible by the number (22) 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 2161632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2161632 is an abundant number, since it is smaller than the sum of its proper divisors (4370208).

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

2161632 is a wasteful number, since it uses less digits than its factorization.

2161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2161632 is about 1470.2489585101. The cubic root of 2161632 is about 129.2986291081.

The spelling of 2161632 in words is "two million, one hundred sixty-one thousand, six hundred thirty-two".