162206400 has 168 divisors, whose sum is σ = 544250880. Its totient is φ = 42275840.

The previous prime is 162206393. The next prime is 162206411. The reversal of 162206400 is 4602261.

It is a happy number.

162206400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 225241 + ... + 225959.

Almost surely, 2^162206400 is an apocalyptic number.

162206400 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 162206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125440).

162206400 is an abundant number, since it is smaller than the sum of its proper divisors (382044480).

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

162206400 is a wasteful number, since it uses less digits than its factorization.

162206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 162206400 is about 12736.0276381610. The cubic root of 162206400 is about 545.3675942206.

Adding to 162206400 its reverse (4602261), we get a palindrome (166808661).

The spelling of 162206400 in words is "one hundred sixty-two million, two hundred six thousand, four hundred".