162128040 has 64 divisors (see below), whose sum is σ = 488505600. Its totient is φ = 43045632.

The previous prime is 162128033. The next prime is 162128059. The reversal of 162128040 is 40821261.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 162128040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25854 + ... + 31506.

It is an arithmetic number, because the mean of its divisors is an integer number (7632900).

Almost surely, 2^162128040 is an apocalyptic number.

162128040 is a gapful number since it is divisible by the number (10) 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 162128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244252800).

162128040 is an abundant number, since it is smaller than the sum of its proper divisors (326377560).

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

162128040 is a wasteful number, since it uses less digits than its factorization.

162128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 162128040 is about 12732.9509541190. The cubic root of 162128040 is about 545.2797598562.

The spelling of 162128040 in words is "one hundred sixty-two million, one hundred twenty-eight thousand, forty".