162964368 has 240 divisors, whose sum is σ = 561233920. Its totient is φ = 43110144.

The previous prime is 162964357. The next prime is 162964379. The reversal of 162964368 is 863469261.

It is an interprime number because it is at equal distance from previous prime (162964357) and next prime (162964379).

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

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 1283121 + ... + 1283247.

Almost surely, 2^162964368 is an apocalyptic number.

162964368 is a gapful number since it is divisible by the number (18) 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 162964368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280616960).

162964368 is an abundant number, since it is smaller than the sum of its proper divisors (398269552).

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

162964368 is a wasteful number, since it uses less digits than its factorization.

162964368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 162964368 is about 12765.7498017155. The cubic root of 162964368 is about 546.2157501824.

The spelling of 162964368 in words is "one hundred sixty-two million, nine hundred sixty-four thousand, three hundred sixty-eight".