162924672 has 64 divisors (see below), whose sum is σ = 434397600. Its totient is φ = 54104064.

The previous prime is 162924661. The next prime is 162924673. The reversal of 162924672 is 276429261.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 162924672.

It is not an unprimeable number, because it can be changed into a prime (162924673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128779 + ... + 130037.

Almost surely, 2^162924672 is an apocalyptic number.

162924672 is a gapful number since it is divisible by the number (12) 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 162924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217198800).

162924672 is an abundant number, since it is smaller than the sum of its proper divisors (271472928).

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

162924672 is a wasteful number, since it uses less digits than its factorization.

162924672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1601 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 162924672 is about 12764.1949217332. The cubic root of 162924672 is about 546.1713962305.

The spelling of 162924672 in words is "one hundred sixty-two million, nine hundred twenty-four thousand, six hundred seventy-two".