162006642 has 72 divisors (see below), whose sum is σ = 423508176. Its totient is φ = 46280808.

The previous prime is 162006629. The next prime is 162006653. The reversal of 162006642 is 246600261.

It is a happy number.

162006642 is a `hidden beast` number, since 16 + 2 + 0 + 0 + 6 + 642 = 666.

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

162006642 is a modest number, since divided by 6642 gives 1620 as remainder.

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 35 ways as a sum of consecutive naturals, for example, 20413 + ... + 27215.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058).

Almost surely, 2^162006642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162006642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211754088).

162006642 is an abundant number, since it is smaller than the sum of its proper divisors (261501534).

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

162006642 is an equidigital number, since it uses as much as digits as its factorization.

162006642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 162006642 is about 12728.1829810857. The cubic root of 162006642 is about 545.1436279423.

The spelling of 162006642 in words is "one hundred sixty-two million, six thousand, six hundred forty-two".