2116632 has 64 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 588672.

The previous prime is 2116627. The next prime is 2116633. The reversal of 2116632 is 2366112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 2116599 and 2116608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116633) 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, 7078 + ... + 7370.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

2^2116632 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 2116632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2116632 is an abundant number, since it is smaller than the sum of its proper divisors (4092648).

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

2116632 is a wasteful number, since it uses less digits than its factorization.

2116632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

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

The square root of 2116632 is about 1454.8649421854. The cubic root of 2116632 is about 128.3951007923.

Adding to 2116632 its sum of digits (21), we get a triangular number (2116653 = T₂₀₅₇).

It can be divided in two parts, 21 and 16632, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 2116632 in words is "two million, one hundred sixteen thousand, six hundred thirty-two".