162882720 has 576 divisors, whose sum is σ = 752903424. Its totient is φ = 30965760.

The previous prime is 162882703. The next prime is 162882739. The reversal of 162882720 is 27288261.

It is a happy number.

162882720 is a `hidden beast` number, since 1 + 628 + 8 + 2 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441384 + ... + 1441496.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^162882720 is an apocalyptic number.

162882720 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 162882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

162882720 is an abundant number, since it is smaller than the sum of its proper divisors (590020704).

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

162882720 is a wasteful number, since it uses less digits than its factorization.

162882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 162882720 is about 12762.5514690441. The cubic root of 162882720 is about 546.1245137274.

It can be divided in two parts, 1628 and 82720, that added together give a palindrome (84348).

The spelling of 162882720 in words is "one hundred sixty-two million, eight hundred eighty-two thousand, seven hundred twenty".