16303680 has 280 divisors, whose sum is σ = 63066168. Its totient is φ = 3981312.

The previous prime is 16303673. The next prime is 16303681. The reversal of 16303680 is 8630361.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 9585216 = 2592^2 + 3096^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16303681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440622 + ... + 440658.

Almost surely, 2^16303680 is an apocalyptic number.

16303680 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 16303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31533084).

16303680 is an abundant number, since it is smaller than the sum of its proper divisors (46762488).

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

16303680 is a wasteful number, since it uses less digits than its factorization.

16303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16303680 is about 4037.7815691293. The cubic root of 16303680 is about 253.5684490067.

The spelling of 16303680 in words is "sixteen million, three hundred three thousand, six hundred eighty".