162961248 has 48 divisors (see below), whose sum is σ = 429541056. Its totient is φ = 54096000.

The previous prime is 162961247. The next prime is 162961289. The reversal of 162961248 is 842169261.

162961248 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162961247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20715 + ... + 27477.

It is an arithmetic number, because the mean of its divisors is an integer number (8948772).

Almost surely, 2^162961248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214770528).

162961248 is an abundant number, since it is smaller than the sum of its proper divisors (266579808).

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

162961248 is a wasteful number, since it uses less digits than its factorization.

162961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7019 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 162961248 is about 12765.6275991429. The cubic root of 162961248 is about 546.2122643406.

The spelling of 162961248 in words is "one hundred sixty-two million, nine hundred sixty-one thousand, two hundred forty-eight".