16087680 has 384 divisors, whose sum is σ = 69768000. Its totient is φ = 3483648.

The previous prime is 16087619. The next prime is 16087681. The reversal of 16087680 is 8678061.

16087680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 (16087681) 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, 846711 + ... + 846729.

Almost surely, 2^16087680 is an apocalyptic number.

16087680 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 16087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34884000).

16087680 is an abundant number, since it is smaller than the sum of its proper divisors (53680320).

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

16087680 is a wasteful number, since it uses less digits than its factorization.

16087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 16087680 is about 4010.9450258013. The cubic root of 16087680 is about 252.4436628878.

The spelling of 16087680 in words is "sixteen million, eighty-seven thousand, six hundred eighty".