16378560 has 252 divisors, whose sum is σ = 63239904. Its totient is φ = 3886080.

The previous prime is 16378543. The next prime is 16378567. The reversal of 16378560 is 6587361.

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 (16378567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348457 + ... + 348503.

It is an arithmetic number, because the mean of its divisors is an integer number (250952).

Almost surely, 2^16378560 is an apocalyptic number.

16378560 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 16378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31619952).

16378560 is an abundant number, since it is smaller than the sum of its proper divisors (46861344).

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

16378560 is a wasteful number, since it uses less digits than its factorization.

16378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 16378560 is about 4047.0433652236. The cubic root of 16378560 is about 253.9560549762.

The spelling of 16378560 in words is "sixteen million, three hundred seventy-eight thousand, five hundred sixty".