162984960 has 264 divisors, whose sum is σ = 590125536. Its totient is φ = 43130880.

The previous prime is 162984953. The next prime is 162984977. The reversal of 162984960 is 69489261.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244095 + ... + 1244225.

It is an arithmetic number, because the mean of its divisors is an integer number (2235324).

Almost surely, 2^162984960 is an apocalyptic number.

162984960 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 162984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295062768).

162984960 is an abundant number, since it is smaller than the sum of its proper divisors (427140576).

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

162984960 is an equidigital number, since it uses as much as digits as its factorization.

162984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 162984960 is about 12766.5563093577. The cubic root of 162984960 is about 546.2387556225.

The spelling of 162984960 in words is "one hundred sixty-two million, nine hundred eighty-four thousand, nine hundred sixty".