162976968 has 256 divisors, whose sum is σ = 580608000. Its totient is φ = 41126400.

The previous prime is 162976967. The next prime is 162976999. The reversal of 162976968 is 869679261.

162976968 is a `hidden beast` number, since 1 + 629 + 7 + 6 + 9 + 6 + 8 = 666.

162976968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162976968² = 53122984196946048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (162976967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681793 + ... + 682031.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^162976968 is an apocalyptic number.

162976968 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 162976968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

162976968 is an abundant number, since it is smaller than the sum of its proper divisors (417631032).

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

162976968 is a wasteful number, since it uses less digits than its factorization.

162976968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 162976968 is about 12766.2433002039. The cubic root of 162976968 is about 546.2298271678.

The spelling of 162976968 in words is "one hundred sixty-two million, nine hundred seventy-six thousand, nine hundred sixty-eight".