162834432 has 96 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 51052544.

The previous prime is 162834431. The next prime is 162834439. The reversal of 162834432 is 234438261.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (33) 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 a junction number, because it is equal to n+sod(n) for n = 162834393 and 162834402.

It is not an unprimeable number, because it can be changed into a prime (162834431) 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, 103669 + ... + 105227.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^162834432 is an apocalyptic number.

162834432 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 162834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

162834432 is an abundant number, since it is smaller than the sum of its proper divisors (297115968).

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

162834432 is a wasteful number, since it uses less digits than its factorization.

162834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1581 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 162834432 is about 12760.6595440831. The cubic root of 162834432 is about 546.0705406050.

The spelling of 162834432 in words is "one hundred sixty-two million, eight hundred thirty-four thousand, four hundred thirty-two".