168953472 has 256 divisors, whose sum is σ = 548352000. Its totient is φ = 51010560.

The previous prime is 168953471. The next prime is 168953483. The reversal of 168953472 is 274359861.

It is not an unprimeable number, because it can be changed into a prime (168953471) 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 31 ways as a sum of consecutive naturals, for example, 2035543 + ... + 2035625.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2^168953472 is an apocalyptic number.

168953472 is a gapful number since it is divisible by the number (12) 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 168953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176000).

168953472 is an abundant number, since it is smaller than the sum of its proper divisors (379398528).

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

168953472 is a wasteful number, since it uses less digits than its factorization.

168953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 168953472 is about 12998.2103383504. The cubic root of 168953472 is about 552.8267384792.

The spelling of 168953472 in words is "one hundred sixty-eight million, nine hundred fifty-three thousand, four hundred seventy-two".