16838640 has 240 divisors, whose sum is σ = 69870528. Its totient is φ = 3538944.

The previous prime is 16838629. The next prime is 16838651. The reversal of 16838640 is 4683861.

It is a happy number.

16838640 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (16838629) and next prime (16838651).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 16838595 and 16838604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65392 + ... + 65648.

Almost surely, 2^16838640 is an apocalyptic number.

16838640 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 16838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34935264).

16838640 is an abundant number, since it is smaller than the sum of its proper divisors (53031888).

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

16838640 is a wasteful number, since it uses less digits than its factorization.

16838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16838640 is about 4103.4911965301. The cubic root of 16838640 is about 256.3120381223.

The spelling of 16838640 in words is "sixteen million, eight hundred thirty-eight thousand, six hundred forty".