16378960 has 40 divisors (see below), whose sum is σ = 41013000. Its totient is φ = 6047232.

The previous prime is 16378951. The next prime is 16378963. The reversal of 16378960 is 6987361.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 15776784 = 776^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16378963) 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 7 ways as a sum of consecutive naturals, for example, 6835 + ... + 8914.

It is an arithmetic number, because the mean of its divisors is an integer number (1025325).

Almost surely, 2^16378960 is an apocalyptic number.

16378960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16378960 is an abundant number, since it is smaller than the sum of its proper divisors (24634040).

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

16378960 is a wasteful number, since it uses less digits than its factorization.

16378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775 (or 15769 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 16378960 is about 4047.0927837152. The cubic root of 16378960 is about 253.9581223455.

The spelling of 16378960 in words is "sixteen million, three hundred seventy-eight thousand, nine hundred sixty".