16793280 has 336 divisors, whose sum is σ = 71323200. Its totient is φ = 3612672.

The previous prime is 16793251. The next prime is 16793281. The reversal of 16793280 is 8239761.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (16793281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987832 + ... + 987848.

Almost surely, 2^16793280 is an apocalyptic number.

16793280 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 16793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661600).

16793280 is an abundant number, since it is smaller than the sum of its proper divisors (54529920).

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

16793280 is a wasteful number, since it uses less digits than its factorization.

16793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16793280 is about 4097.9604683306. The cubic root of 16793280 is about 256.0816796656.

The spelling of 16793280 in words is "sixteen million, seven hundred ninety-three thousand, two hundred eighty".