16289040 has 80 divisors (see below), whose sum is σ = 51300288. Its totient is φ = 4274688.

The previous prime is 16289029. The next prime is 16289057. The reversal of 16289040 is 4098261.

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

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 = 16288989 and 16289007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15574 + ... + 16586.

Almost surely, 2^16289040 is an apocalyptic number.

16289040 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 16289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25650144).

16289040 is an abundant number, since it is smaller than the sum of its proper divisors (35011248).

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

16289040 is a wasteful number, since it uses less digits than its factorization.

16289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 16289040 is about 4035.9682853065. The cubic root of 16289040 is about 253.4925284416.

The spelling of 16289040 in words is "sixteen million, two hundred eighty-nine thousand, forty".