162086400 has 480 divisors, whose sum is σ = 690074880. Its totient is φ = 36495360.

The previous prime is 162086389. The next prime is 162086401. The reversal of 162086400 is 4680261.

162086400 is a `hidden beast` number, since 16 + 2 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162086401) 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 47 ways as a sum of consecutive naturals, for example, 2419167 + ... + 2419233.

It is an arithmetic number, because the mean of its divisors is an integer number (1437656).

Almost surely, 2^162086400 is an apocalyptic number.

162086400 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 162086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345037440).

162086400 is an abundant number, since it is smaller than the sum of its proper divisors (527988480).

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

162086400 is an equidigital number, since it uses as much as digits as its factorization.

162086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 162086400 is about 12731.3157214799. The cubic root of 162086400 is about 545.2330737240.

The spelling of 162086400 in words is "one hundred sixty-two million, eighty-six thousand, four hundred".