16142880 has 144 divisors (see below), whose sum is σ = 55339200. Its totient is φ = 3953664.

The previous prime is 16142869. The next prime is 16142887. The reversal of 16142880 is 8824161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16142887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81021 + ... + 81219.

It is an arithmetic number, because the mean of its divisors is an integer number (384300).

Almost surely, 2^16142880 is an apocalyptic number.

16142880 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 16142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27669600).

16142880 is an abundant number, since it is smaller than the sum of its proper divisors (39196320).

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

16142880 is a wasteful number, since it uses less digits than its factorization.

16142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 16142880 is about 4017.8203045930. The cubic root of 16142880 is about 252.7320612713.

The spelling of 16142880 in words is "sixteen million, one hundred forty-two thousand, eight hundred eighty".