16983540 has 96 divisors (see below), whose sum is σ = 60399360. Its totient is φ = 3881088.

The previous prime is 16983521. The next prime is 16983541. The reversal of 16983540 is 4538961.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16983495 and 16983504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16983541) by changing a digit.

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, 1534 + ... + 6026.

It is an arithmetic number, because the mean of its divisors is an integer number (629160).

Almost surely, 2^16983540 is an apocalyptic number.

16983540 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 16983540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30199680).

16983540 is an abundant number, since it is smaller than the sum of its proper divisors (43415820).

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

16983540 is a wasteful number, since it uses less digits than its factorization.

16983540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 16983540 is about 4121.1090740236. The cubic root of 16983540 is about 257.0451454149.

The spelling of 16983540 in words is "sixteen million, nine hundred eighty-three thousand, five hundred forty".