16629440 has 56 divisors (see below), whose sum is σ = 39971472. Its totient is φ = 6589440.

The previous prime is 16629413. The next prime is 16629449. The reversal of 16629440 is 4492661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 16629397 and 16629406.

It is not an unprimeable number, because it can be changed into a prime (16629449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50075 + ... + 50405.

Almost surely, 2^16629440 is an apocalyptic number.

16629440 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 16629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19985736).

16629440 is an abundant number, since it is smaller than the sum of its proper divisors (23342032).

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

16629440 is a wasteful number, since it uses less digits than its factorization.

16629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 16629440 is about 4077.9210389609. The cubic root of 16629440 is about 255.2461547205.

The spelling of 16629440 in words is "sixteen million, six hundred twenty-nine thousand, four hundred forty".