16982640 has 120 divisors (see below), whose sum is σ = 57838560. Its totient is φ = 4465152.

The previous prime is 16982639. The next prime is 16982681. The reversal of 16982640 is 4628961.

16982640 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 2 + 640 = 666.

It is a Cunningham number, because it is equal to 4121²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×16982640² = 576820122739200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 16982595 and 16982604.

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, 74046 + ... + 74274.

It is an arithmetic number, because the mean of its divisors is an integer number (481988).

Almost surely, 2^16982640 is an apocalyptic number.

16982640 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 16982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28919280).

16982640 is an abundant number, since it is smaller than the sum of its proper divisors (40855920).

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

16982640 is a wasteful number, since it uses less digits than its factorization.

16982640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16982640 is about 4120.9998786702. Note that the first 3 decimals coincide. The cubic root of 16982640 is about 257.0406048476.

The spelling of 16982640 in words is "sixteen million, nine hundred eighty-two thousand, six hundred forty".