16287920 has 80 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 5825280.

The previous prime is 16287919. The next prime is 16287923. The reversal of 16287920 is 2978261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (16287923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72929 + ... + 73151.

Almost surely, 2^16287920 is an apocalyptic number.

16287920 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 16287920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

16287920 is an abundant number, since it is smaller than the sum of its proper divisors (25709392).

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

16287920 is a wasteful number, since it uses less digits than its factorization.

16287920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 16287920 is about 4035.8295305922. The cubic root of 16287920 is about 253.4867184381.

The spelling of 16287920 in words is "sixteen million, two hundred eighty-seven thousand, nine hundred twenty".