162006416 has 120 divisors (see below), whose sum is σ = 383043192. Its totient is φ = 65894400.

The previous prime is 162006401. The next prime is 162006419. The reversal of 162006416 is 614600261.

It is a happy number.

162006416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5856400 + 156150016 = 2420^2 + 12496^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162006419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031810 + ... + 1031966.

Almost surely, 2^162006416 is an apocalyptic number.

162006416 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 162006416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191521596).

162006416 is an abundant number, since it is smaller than the sum of its proper divisors (221036776).

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

162006416 is a wasteful number, since it uses less digits than its factorization.

162006416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 162006416 is about 12728.1741031461. The cubic root of 162006416 is about 545.1433744495.

Adding to 162006416 its reverse (614600261), we get a palindrome (776606677).

The spelling of 162006416 in words is "one hundred sixty-two million, six thousand, four hundred sixteen".