161829440 has 56 divisors (see below), whose sum is σ = 386544312. Its totient is φ = 64532480.

The previous prime is 161829433. The next prime is 161829457. The reversal of 161829440 is 44928161.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 159567424 = 1504^2 + 12632^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 161829440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146972 + ... + 148068.

It is an arithmetic number, because the mean of its divisors is an integer number (6902577).

Almost surely, 2^161829440 is an apocalyptic number.

161829440 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 161829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193272156).

161829440 is an abundant number, since it is smaller than the sum of its proper divisors (224714872).

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

161829440 is a wasteful number, since it uses less digits than its factorization.

161829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 161829440 is about 12721.2200672734. The cubic root of 161829440 is about 544.9447970347.

The spelling of 161829440 in words is "one hundred sixty-one million, eight hundred twenty-nine thousand, four hundred forty".