162021216 has 96 divisors (see below), whose sum is σ = 488049408. Its totient is φ = 46103040.

The previous prime is 162021199. The next prime is 162021241. The reversal of 162021216 is 612120261.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 162021192 and 162021201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309531 + ... + 310053.

It is an arithmetic number, because the mean of its divisors is an integer number (5083848).

Almost surely, 2^162021216 is an apocalyptic number.

162021216 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 162021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244024704).

162021216 is an abundant number, since it is smaller than the sum of its proper divisors (326028192).

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

162021216 is a wasteful number, since it uses less digits than its factorization.

162021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 162021216 is about 12728.7554772649. The cubic root of 162021216 is about 545.1599743605.

Adding to 162021216 its reverse (612120261), we get a palindrome (774141477).

The spelling of 162021216 in words is "one hundred sixty-two million, twenty-one thousand, two hundred sixteen".