16801506 has 48 divisors (see below), whose sum is σ = 38158848. Its totient is φ = 5540400.

The previous prime is 16801493. The next prime is 16801507. The reversal of 16801506 is 60510861.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16801506.

It is not an unprimeable number, because it can be changed into a prime (16801507) 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, 87871 + ... + 88061.

It is an arithmetic number, because the mean of its divisors is an integer number (794976).

Almost surely, 2^16801506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16801506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079424).

16801506 is an abundant number, since it is smaller than the sum of its proper divisors (21357342).

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

16801506 is a wasteful number, since it uses less digits than its factorization.

16801506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 16801506 is about 4098.9640154556. The cubic root of 16801506 is about 256.1234857538.

The spelling of 16801506 in words is "sixteen million, eight hundred one thousand, five hundred six".