16849040 has 80 divisors (see below), whose sum is σ = 44715888. Its totient is φ = 5849088.

The previous prime is 16849013. The next prime is 16849061. The reversal of 16849040 is 4094861.

It can be written as a sum of positive squares in 8 ways, for example, as 430336 + 16418704 = 656^2 + 4052^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 16848988 and 16849006.

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, 17204 + ... + 18156.

Almost surely, 2^16849040 is an apocalyptic number.

16849040 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 16849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22357944).

16849040 is an abundant number, since it is smaller than the sum of its proper divisors (27866848).

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

16849040 is a wasteful number, since it uses less digits than its factorization.

16849040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 16849040 is about 4104.7582145603. The cubic root of 16849040 is about 256.3647956806.

The spelling of 16849040 in words is "sixteen million, eight hundred forty-nine thousand, forty".