162360864 has 144 divisors (see below), whose sum is σ = 488097792. Its totient is φ = 51093504.

The previous prime is 162360859. The next prime is 162360881. The reversal of 162360864 is 468063261.

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

It is a super-2 number, since 2×162360864² = 52722100317652992, which contains 22 as substring.

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

It is an unprimeable number.

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, 841152 + ... + 841344.

It is an arithmetic number, because the mean of its divisors is an integer number (3389568).

Almost surely, 2^162360864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162360864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244048896).

162360864 is an abundant number, since it is smaller than the sum of its proper divisors (325736928).

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

162360864 is a wasteful number, since it uses less digits than its factorization.

162360864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 162360864 is about 12742.0902523879. The cubic root of 162360864 is about 545.5406513762.

The spelling of 162360864 in words is "one hundred sixty-two million, three hundred sixty thousand, eight hundred sixty-four".