16629480 has 96 divisors (see below), whose sum is σ = 61776000. Its totient is φ = 3800448.

The previous prime is 16629469. The next prime is 16629491. The reversal of 16629480 is 8492661.

It is an interprime number because it is at equal distance from previous prime (16629469) and next prime (16629491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780 + ... + 5819.

It is an arithmetic number, because the mean of its divisors is an integer number (643500).

Almost surely, 2^16629480 is an apocalyptic number.

16629480 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 16629480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888000).

16629480 is an abundant number, since it is smaller than the sum of its proper divisors (45146520).

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

16629480 is a wasteful number, since it uses less digits than its factorization.

16629480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16629480 is about 4077.9259434178. The cubic root of 16629480 is about 255.2463593743.

It can be divided in two parts, 166 and 29480, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 16629480 in words is "sixteen million, six hundred twenty-nine thousand, four hundred eighty".