162661842 has 144 divisors (see below), whose sum is σ = 442495872. Its totient is φ = 42197760.

The previous prime is 162661817. The next prime is 162661843. The reversal of 162661842 is 248166261.

162661842 is a `hidden beast` number, since 16 + 26 + 618 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 162661797 and 162661806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162661843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3967342 + ... + 3967382.

It is an arithmetic number, because the mean of its divisors is an integer number (3072888).

Almost surely, 2^162661842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162661842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221247936).

162661842 is an abundant number, since it is smaller than the sum of its proper divisors (279834030).

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

162661842 is a wasteful number, since it uses less digits than its factorization.

162661842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 162661842 is about 12753.8951697119. The cubic root of 162661842 is about 545.8775436845.

The spelling of 162661842 in words is "one hundred sixty-two million, six hundred sixty-one thousand, eight hundred forty-two".