16629820 has 48 divisors (see below), whose sum is σ = 36435168. Its totient is φ = 6370560.

The previous prime is 16629787. The next prime is 16629827. The reversal of 16629820 is 2892661.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16629827) 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 15 ways as a sum of consecutive naturals, for example, 52302 + ... + 52618.

It is an arithmetic number, because the mean of its divisors is an integer number (759066).

Almost surely, 2^16629820 is an apocalyptic number.

16629820 is a gapful number since it is divisible by the number (10) 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 16629820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217584).

16629820 is an abundant number, since it is smaller than the sum of its proper divisors (19805348).

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

16629820 is a wasteful number, since it uses less digits than its factorization.

16629820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 16629820 is about 4077.9676310633. The cubic root of 16629820 is about 255.2480989190.

The spelling of 16629820 in words is "sixteen million, six hundred twenty-nine thousand, eight hundred twenty".