162724968 has 96 divisors (see below), whose sum is σ = 530212800. Its totient is φ = 44043264.

The previous prime is 162724909. The next prime is 162724979. The reversal of 162724968 is 869427261.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080 + ... + 18072.

It is an arithmetic number, because the mean of its divisors is an integer number (5523050).

Almost surely, 2^162724968 is an apocalyptic number.

162724968 is a gapful number since it is divisible by the number (18) 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 162724968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265106400).

162724968 is an abundant number, since it is smaller than the sum of its proper divisors (367487832).

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

162724968 is a wasteful number, since it uses less digits than its factorization.

162724968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17031 (or 17024 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 162724968 is about 12756.3697030150. The cubic root of 162724968 is about 545.9481494859.

The spelling of 162724968 in words is "one hundred sixty-two million, seven hundred twenty-four thousand, nine hundred sixty-eight".