162098400 has 288 divisors, whose sum is σ = 582150240. Its totient is φ = 38993920.

The previous prime is 162098399. The next prime is 162098401. The reversal of 162098400 is 4890261.

It is an interprime number because it is at equal distance from previous prime (162098399) and next prime (162098401).

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 (162098401) 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 47 ways as a sum of consecutive naturals, for example, 1183132 + ... + 1183268.

It is an arithmetic number, because the mean of its divisors is an integer number (2021355).

Almost surely, 2^162098400 is an apocalyptic number.

162098400 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 162098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291075120).

162098400 is an abundant number, since it is smaller than the sum of its proper divisors (420051840).

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

162098400 is a wasteful number, since it uses less digits than its factorization.

162098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 162098400 is about 12731.7869916206. The cubic root of 162098400 is about 545.2465287608.

The spelling of 162098400 in words is "one hundred sixty-two million, ninety-eight thousand, four hundred".