16406000 has 80 divisors (see below), whose sum is σ = 42788928. Its totient is φ = 6048000.

The previous prime is 16405997. The next prime is 16406017. The reversal of 16406000 is 60461.

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 16406000.

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, 25685 + ... + 26315.

Almost surely, 2^16406000 is an apocalyptic number.

16406000 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 16406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394464).

16406000 is an abundant number, since it is smaller than the sum of its proper divisors (26382928).

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

16406000 is a wasteful number, since it uses less digits than its factorization.

16406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 16406000 is about 4050.4320757174. The cubic root of 16406000 is about 254.0977985351.

Adding to 16406000 its reverse (60461), we get a palindrome (16466461).

The spelling of 16406000 in words is "sixteen million, four hundred six thousand".