162791680 has 72 divisors (see below), whose sum is σ = 394594200. Its totient is φ = 64339968.

The previous prime is 162791669. The next prime is 162791683. The reversal of 162791680 is 86197261.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 160985344 = 1344^2 + 12688^2 .

It is a super-2 number, since 2×162791680² = 53002262154444800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (162791683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113206 + ... + 114634.

It is an arithmetic number, because the mean of its divisors is an integer number (5480475).

Almost surely, 2^162791680 is an apocalyptic number.

162791680 is a gapful number since it is divisible by the number (10) 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 162791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197297100).

162791680 is an abundant number, since it is smaller than the sum of its proper divisors (231802520).

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

162791680 is an equidigital number, since it uses as much as digits as its factorization.

162791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 162791680 is about 12758.9842855926. The cubic root of 162791680 is about 546.0227463498.

The spelling of 162791680 in words is "one hundred sixty-two million, seven hundred ninety-one thousand, six hundred eighty".