162401600 has 42 divisors (see below), whose sum is σ = 399613374. Its totient is φ = 64960000.

The previous prime is 162401599. The next prime is 162401609. The reversal of 162401600 is 6104261.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13366336 + 149035264 = 3656^2 + 12208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162401609) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 49151 + ... + 52350.

Almost surely, 2^162401600 is an apocalyptic number.

162401600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162401600 is an abundant number, since it is smaller than the sum of its proper divisors (237211774).

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

162401600 is a wasteful number, since it uses less digits than its factorization.

162401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101523 (or 101508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 162401600 is about 12743.6886339866. The cubic root of 162401600 is about 545.5862725625.

Adding to 162401600 its reverse (6104261), we get a palindrome (168505861).

The spelling of 162401600 in words is "one hundred sixty-two million, four hundred one thousand, six hundred".