162047952 has 160 divisors (see below), whose sum is σ = 514907520. Its totient is φ = 48988800.

The previous prime is 162047947. The next prime is 162047953. The reversal of 162047952 is 259740261.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162047953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384702 + ... + 385122.

It is an arithmetic number, because the mean of its divisors is an integer number (3218172).

Almost surely, 2^162047952 is an apocalyptic number.

162047952 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 162047952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257453760).

162047952 is an abundant number, since it is smaller than the sum of its proper divisors (352859568).

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

162047952 is an equidigital number, since it uses as much as digits as its factorization.

162047952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 162047952 is about 12729.8056544474. The cubic root of 162047952 is about 545.1899593131.

The spelling of 162047952 in words is "one hundred sixty-two million, forty-seven thousand, nine hundred fifty-two".