160416 has 36 divisors (see below), whose sum is σ = 457002. Its totient is φ = 53376.

The previous prime is 160409. The next prime is 160423. The reversal of 160416 is 614061.

It is an interprime number because it is at equal distance from previous prime (160409) and next prime (160423).

It can be written as a sum of positive squares in only one way, i.e., 156816 + 3600 = 396^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 160416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10 + ... + 566.

2¹⁶⁰⁴¹⁶ is an apocalyptic number.

160416 is a gapful number since it is divisible by the number (16) 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 160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228501).

160416 is an abundant number, since it is smaller than the sum of its proper divisors (296586).

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

160416 is a wasteful number, since it uses less digits than its factorization.

160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 160416 is about 400.5196624387. The cubic root of 160416 is about 54.3353615195.

Adding to 160416 its reverse (614061), we get a palindrome (774477).

It can be divided in two parts, 160 and 416, that added together give a square (576 = 24²).

The spelling of 160416 in words is "one hundred sixty thousand, four hundred sixteen".