162248064 has 128 divisors (see below), whose sum is σ = 477653760. Its totient is φ = 48384000.

The previous prime is 162248063. The next prime is 162248101. The reversal of 162248064 is 460842261.

162248064 is digitally balanced in base 3, because in such base 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162248063) 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 15 ways as a sum of consecutive naturals, for example, 299634 + ... + 300174.

It is an arithmetic number, because the mean of its divisors is an integer number (3731670).

Almost surely, 2^162248064 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 162248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238826880).

162248064 is an abundant number, since it is smaller than the sum of its proper divisors (315405696).

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

162248064 is a wasteful number, since it uses less digits than its factorization.

162248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 162248064 is about 12737.6632079829. The cubic root of 162248064 is about 545.4142842202.

The spelling of 162248064 in words is "one hundred sixty-two million, two hundred forty-eight thousand, sixty-four".