16813680 has 160 divisors (see below), whose sum is σ = 59621184. Its totient is φ = 3883008.

The previous prime is 16813679. The next prime is 16813681. The reversal of 16813680 is 8631861.

It is an interprime number because it is at equal distance from previous prime (16813679) and next prime (16813681).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16813681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52882 + ... + 53198.

Almost surely, 2^16813680 is an apocalyptic number.

16813680 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 16813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29810592).

16813680 is an abundant number, since it is smaller than the sum of its proper divisors (42807504).

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

16813680 is a wasteful number, since it uses less digits than its factorization.

16813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 16813680 is about 4100.4487559290. The cubic root of 16813680 is about 256.1853312918.

The spelling of 16813680 in words is "sixteen million, eight hundred thirteen thousand, six hundred eighty".