16763040 has 144 divisors (see below), whose sum is σ = 65415168. Its totient is φ = 3829248.

The previous prime is 16763039. The next prime is 16763041. The reversal of 16763040 is 4036761.

It is an interprime number because it is at equal distance from previous prime (16763039) and next prime (16763041).

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

It is a junction number, because it is equal to n+sod(n) for n = 16762995 and 16763013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16763041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9249 + ... + 10911.

It is an arithmetic number, because the mean of its divisors is an integer number (454272).

Almost surely, 2^16763040 is an apocalyptic number.

16763040 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 16763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707584).

16763040 is an abundant number, since it is smaller than the sum of its proper divisors (48652128).

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

16763040 is a wasteful number, since it uses less digits than its factorization.

16763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 16763040 is about 4094.2691655532. The cubic root of 16763040 is about 255.9278768180.

The spelling of 16763040 in words is "sixteen million, seven hundred sixty-three thousand, forty".