160632400 has 60 divisors (see below), whose sum is σ = 393252732. Its totient is φ = 63032320.

The previous prime is 160632389. The next prime is 160632413. The reversal of 160632400 is 4236061.

It can be written as a sum of positive squares in 6 ways, for example, as 22052416 + 138579984 = 4696^2 + 11772^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17412 + ... + 24988.

Almost surely, 2^160632400 is an apocalyptic number.

160632400 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 160632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196626366).

160632400 is an abundant number, since it is smaller than the sum of its proper divisors (232620332).

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

160632400 is a wasteful number, since it uses less digits than its factorization.

160632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 160632400 is about 12674.0837933162. The cubic root of 160632400 is about 543.5978320841.

Adding to 160632400 its reverse (4236061), we get a palindrome (164868461).

The spelling of 160632400 in words is "one hundred sixty million, six hundred thirty-two thousand, four hundred".