16878960 has 240 divisors, whose sum is σ = 68942016. Its totient is φ = 3612672.

The previous prime is 16878959. The next prime is 16878971. The reversal of 16878960 is 6987861.

It is a happy number.

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 (45).

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, 85582 + ... + 85778.

Almost surely, 2^16878960 is an apocalyptic number.

16878960 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 16878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34471008).

16878960 is an abundant number, since it is smaller than the sum of its proper divisors (52063056).

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

16878960 is a wasteful number, since it uses less digits than its factorization.

16878960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 16878960 is about 4108.4011488656. The cubic root of 16878960 is about 256.5164541501.

The spelling of 16878960 in words is "sixteen million, eight hundred seventy-eight thousand, nine hundred sixty".