160400 has 30 divisors (see below), whose sum is σ = 386322. Its totient is φ = 64000.

The previous prime is 160397. The next prime is 160403. The reversal of 160400 is 4061.

It is an interprime number because it is at equal distance from previous prime (160397) and next prime (160403).

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 110224 = 224^2 + 332^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 160400.

It is not an unprimeable number, because it can be changed into a prime (160403) by changing a digit.

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, 200 + ... + 600.

2¹⁶⁰⁴⁰⁰ is an apocalyptic number.

160400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 400×401.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193161).

160400 is an abundant number, since it is smaller than the sum of its proper divisors (225922).

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

160400 is a wasteful number, since it uses less digits than its factorization.

160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 160400 is about 400.4996878900. The cubic root of 160400 is about 54.3335549775. Note that the first 3 decimals are identical.

Adding to 160400 its reverse (4061), we get a palindrome (164461).

It can be divided in two parts, 160 and 400, that multiplied together give a cube (64000 = 40³).

The spelling of 160400 in words is "one hundred sixty thousand, four hundred".