16905840 has 160 divisors (see below), whose sum is σ = 62138880. Its totient is φ = 3720192.

The previous prime is 16905829. The next prime is 16905857. The reversal of 16905840 is 4850961.

It is a super-2 number, since 2×16905840² = 571614852211200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48547 + ... + 48893.

It is an arithmetic number, because the mean of its divisors is an integer number (388368).

Almost surely, 2^16905840 is an apocalyptic number.

16905840 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 16905840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31069440).

16905840 is an abundant number, since it is smaller than the sum of its proper divisors (45233040).

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

16905840 is a wasteful number, since it uses less digits than its factorization.

16905840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 16905840 is about 4111.6711930795. The cubic root of 16905840 is about 256.6525507126.

The spelling of 16905840 in words is "sixteen million, nine hundred five thousand, eight hundred forty".