16835040 has 144 divisors (see below), whose sum is σ = 59714928. Its totient is φ = 4478976.

The previous prime is 16835017. The next prime is 16835069. The reversal of 16835040 is 4053861.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 16834995 and 16835013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38664 + ... + 39096.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 2^16835040 is an apocalyptic number.

16835040 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 16835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857464).

16835040 is an abundant number, since it is smaller than the sum of its proper divisors (42879888).

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

16835040 is an equidigital number, since it uses as much as digits as its factorization.

16835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 16835040 is about 4103.0525222083. The cubic root of 16835040 is about 256.2937708295.

The spelling of 16835040 in words is "sixteen million, eight hundred thirty-five thousand, forty".