162450720 has 144 divisors (see below), whose sum is σ = 569532600. Its totient is φ = 42135552.

The previous prime is 162450713. The next prime is 162450727. The reversal of 162450720 is 27054261.

It is an interprime number because it is at equal distance from previous prime (162450713) and next prime (162450727).

It can be written as a sum of positive squares in 4 ways, for example, as 130233744 + 32216976 = 11412^2 + 5676^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (162450727) 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 23 ways as a sum of consecutive naturals, for example, 51756 + ... + 54804.

Almost surely, 2^162450720 is an apocalyptic number.

162450720 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 162450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284766300).

162450720 is an abundant number, since it is smaller than the sum of its proper divisors (407081880).

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

162450720 is a wasteful number, since it uses less digits than its factorization.

162450720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 162450720 is about 12745.6157167867. The cubic root of 162450720 is about 545.6412730392.

The spelling of 162450720 in words is "one hundred sixty-two million, four hundred fifty thousand, seven hundred twenty".