162664320 has 512 divisors, whose sum is σ = 685440000. Its totient is φ = 32514048.

The previous prime is 162664319. The next prime is 162664373. The reversal of 162664320 is 23466261.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8561271 + ... + 8561289.

It is an arithmetic number, because the mean of its divisors is an integer number (1338750).

Almost surely, 2^162664320 is an apocalyptic number.

162664320 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 162664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720000).

162664320 is an abundant number, since it is smaller than the sum of its proper divisors (522775680).

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

162664320 is a wasteful number, since it uses less digits than its factorization.

162664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 162664320 is about 12753.9923161338. The cubic root of 162664320 is about 545.8803156472.

The spelling of 162664320 in words is "one hundred sixty-two million, six hundred sixty-four thousand, three hundred twenty".