16630800 has 60 divisors (see below), whose sum is σ = 53277840. Its totient is φ = 4434560.

The previous prime is 16630781. The next prime is 16630819. The reversal of 16630800 is 803661.

16630800 = 152² + 153² + ... + 376².

It is an interprime number because it is at equal distance from previous prime (16630781) and next prime (16630819).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5730 + ... + 8129.

It is an arithmetic number, because the mean of its divisors is an integer number (887964).

Almost surely, 2^16630800 is an apocalyptic number.

16630800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16630800 is an abundant number, since it is smaller than the sum of its proper divisors (36647040).

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

16630800 is a wasteful number, since it uses less digits than its factorization.

16630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13880 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16630800 is about 4078.0877871865. The cubic root of 16630800 is about 255.2531127681.

The spelling of 16630800 in words is "sixteen million, six hundred thirty thousand, eight hundred".