160006400 has 108 divisors (see below), whose sum is σ = 413640192. Its totient is φ = 61163520.

The previous prime is 160006387. The next prime is 160006433. The reversal of 160006400 is 4600061.

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 11 ways as a sum of consecutive naturals, for example, 146657 + ... + 147743.

Almost surely, 2^160006400 is an apocalyptic number.

160006400 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 160006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206820096).

160006400 is an abundant number, since it is smaller than the sum of its proper divisors (253633792).

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

160006400 is a wasteful number, since it uses less digits than its factorization.

160006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 160006400 is about 12649.3636203566. The cubic root of 160006400 is about 542.8907616694.

Adding to 160006400 its reverse (4600061), we get a palindrome (164606461).

It can be divided in two parts, 16000 and 6400, that multiplied together give a 5-th power (102400000 = 40⁵).

The spelling of 160006400 in words is "one hundred sixty million, six thousand, four hundred".