16128840 has 192 divisors, whose sum is σ = 60903360. Its totient is φ = 3386880.

The previous prime is 16128821. The next prime is 16128841. The reversal of 16128840 is 4882161.

16128840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 16128798 and 16128807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16128841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76335 + ... + 76545.

It is an arithmetic number, because the mean of its divisors is an integer number (317205).

Almost surely, 2^16128840 is an apocalyptic number.

16128840 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 16128840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30451680).

16128840 is an abundant number, since it is smaller than the sum of its proper divisors (44774520).

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

16128840 is a wasteful number, since it uses less digits than its factorization.

16128840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

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

The square root of 16128840 is about 4016.0727085052. The cubic root of 16128840 is about 252.6587701909.

The spelling of 16128840 in words is "sixteen million, one hundred twenty-eight thousand, eight hundred forty".