162829440 has 224 divisors, whose sum is σ = 585301500. Its totient is φ = 43296768.

The previous prime is 162829421. The next prime is 162829441. The reversal of 162829440 is 44928261.

162829440 is a `hidden beast` number, since 1 + 628 + 29 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162409536 + 419904 = 12744^2 + 648^2 .

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 162829395 and 162829404.

It is not an unprimeable number, because it can be changed into a prime (162829441) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466386 + ... + 466734.

Almost surely, 2^162829440 is an apocalyptic number.

162829440 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 162829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292650750).

162829440 is an abundant number, since it is smaller than the sum of its proper divisors (422472060).

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

162829440 is an frugal number, since it uses more digits than its factorization.

162829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 162829440 is about 12760.4639414090. The cubic root of 162829440 is about 546.0649602701.

The spelling of 162829440 in words is "one hundred sixty-two million, eight hundred twenty-nine thousand, four hundred forty".