162009792 has 168 divisors, whose sum is σ = 554102016. Its totient is φ = 44250624.

The previous prime is 162009763. The next prime is 162009889. The reversal of 162009792 is 297900261.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 91863 + ... + 93609.

Almost surely, 2^162009792 is an apocalyptic number.

162009792 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 162009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277051008).

162009792 is an abundant number, since it is smaller than the sum of its proper divisors (392092224).

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

162009792 is a wasteful number, since it uses less digits than its factorization.

162009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 162009792 is about 12728.3067216343. The cubic root of 162009792 is about 545.1471611128.

The spelling of 162009792 in words is "one hundred sixty-two million, nine thousand, seven hundred ninety-two".