16380288 has 96 divisors (see below), whose sum is σ = 48133800. Its totient is φ = 5345280.

The previous prime is 16380283. The next prime is 16380289. The reversal of 16380288 is 88208361.

16380288 is digitally balanced in base 2, because in such base 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 (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16380283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67848 + ... + 68088.

Almost surely, 2^16380288 is an apocalyptic number.

16380288 is a gapful number since it is divisible by the number (18) 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 16380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24066900).

16380288 is an abundant number, since it is smaller than the sum of its proper divisors (31753512).

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

16380288 is a wasteful number, since it uses less digits than its factorization.

16380288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 16380288 is about 4047.2568487804. The cubic root of 16380288 is about 253.9649857701.

The spelling of 16380288 in words is "sixteen million, three hundred eighty thousand, two hundred eighty-eight".