162408960 has 480 divisors, whose sum is σ = 689420160. Its totient is φ = 34504704.

The previous prime is 162408949. The next prime is 162408971. The reversal of 162408960 is 69804261.

162408960 is a `hidden beast` number, since 162 + 408 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (162408949) and next prime (162408971).

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3064294 + ... + 3064346.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^162408960 is an apocalyptic number.

162408960 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 162408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080).

162408960 is an abundant number, since it is smaller than the sum of its proper divisors (527011200).

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

162408960 is a wasteful number, since it uses less digits than its factorization.

162408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 162408960 is about 12743.9774011099. The cubic root of 162408960 is about 545.5945143826.

It can be divided in two parts, 16240 and 8960, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 162408960 in words is "one hundred sixty-two million, four hundred eight thousand, nine hundred sixty".