162188400 has 180 divisors, whose sum is σ = 571579736. Its totient is φ = 39283200.

The previous prime is 162188393. The next prime is 162188401. The reversal of 162188400 is 4881261.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162188401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144642 + ... + 145758.

Almost surely, 2^162188400 is an apocalyptic number.

162188400 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 162188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285789868).

162188400 is an abundant number, since it is smaller than the sum of its proper divisors (409391336).

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

162188400 is a wasteful number, since it uses less digits than its factorization.

162188400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 162188400 is about 12735.3209617975. The cubic root of 162188400 is about 545.3474203766.

The spelling of 162188400 in words is "one hundred sixty-two million, one hundred eighty-eight thousand, four hundred".