162542016 has 252 divisors, whose sum is σ = 584969112. Its totient is φ = 42771456.

The previous prime is 162541997. The next prime is 162542033. The reversal of 162542016 is 610245261.

162542016 is a `hidden beast` number, since 1 + 625 + 4 + 20 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366691 + ... + 367133.

It is an arithmetic number, because the mean of its divisors is an integer number (2321306).

Almost surely, 2^162542016 is an apocalyptic number.

162542016 is a gapful number since it is divisible by the number (16) 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 162542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292484556).

162542016 is an abundant number, since it is smaller than the sum of its proper divisors (422427096).

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

162542016 is a wasteful number, since it uses less digits than its factorization.

162542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 162542016 is about 12749.1966805756. The cubic root of 162542016 is about 545.7434692349.

Adding to 162542016 its reverse (610245261), we get a palindrome (772787277).

The spelling of 162542016 in words is "one hundred sixty-two million, five hundred forty-two thousand, sixteen".