162083376 has 480 divisors, whose sum is σ = 633292800. Its totient is φ = 39191040.

The previous prime is 162083371. The next prime is 162083377. The reversal of 162083376 is 673380261.

It is a happy number.

It is a super-3 number, since 3×162083376³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 162083376.

It is not an unprimeable number, because it can be changed into a prime (162083371) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5228481 + ... + 5228511.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 2^162083376 is an apocalyptic number.

162083376 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 162083376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316646400).

162083376 is an abundant number, since it is smaller than the sum of its proper divisors (471209424).

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

162083376 is a wasteful number, since it uses less digits than its factorization.

162083376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 162083376 is about 12731.1969586524. The cubic root of 162083376 is about 545.2296829500.

The spelling of 162083376 in words is "one hundred sixty-two million, eighty-three thousand, three hundred seventy-six".