2164632 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 662400.

The previous prime is 2164621. The next prime is 2164633. The reversal of 2164632 is 2364612.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 2¹³ + 1 + 6 + 4² + 6³ + 3¹⁰ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21382 + ... + 21482.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

2^2164632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2164632 is an abundant number, since it is smaller than the sum of its proper divisors (3710568).

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

2164632 is a wasteful number, since it uses less digits than its factorization.

2164632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2164632 is about 1471.2688401512. The cubic root of 2164632 is about 129.3584167407.

The spelling of 2164632 in words is "two million, one hundred sixty-four thousand, six hundred thirty-two".