162181440 has 140 divisors (see below), whose sum is σ = 577000116. Its totient is φ = 43241472.

The previous prime is 162181417. The next prime is 162181463. The reversal of 162181440 is 44181261.

It is a happy number.

162181440 is a `hidden beast` number, since 1 + 6 + 218 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (162181417) and next prime (162181463).

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 39237696 = 11088^2 + 6264^2 .

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 22792 + ... + 29048.

Almost surely, 2^162181440 is an apocalyptic number.

162181440 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 162181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288500058).

162181440 is an abundant number, since it is smaller than the sum of its proper divisors (414818676).

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

162181440 is an equidigital number, since it uses as much as digits as its factorization.

162181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 162181440 is about 12735.0477030909. The cubic root of 162181440 is about 545.3396194234.

The spelling of 162181440 in words is "one hundred sixty-two million, one hundred eighty-one thousand, four hundred forty".