161735328 has 72 divisors (see below), whose sum is σ = 463144500. Its totient is φ = 53535744.

The previous prime is 161735317. The next prime is 161735393. The reversal of 161735328 is 823537161.

161735328 is a `hidden beast` number, since 1 + 617 + 3 + 5 + 32 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161493264 + 242064 = 12708^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 161735292 and 161735301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41028 + ... + 44796.

Almost surely, 2^161735328 is an apocalyptic number.

161735328 is a gapful number since it is divisible by the number (18) 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 161735328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231572250).

161735328 is an abundant number, since it is smaller than the sum of its proper divisors (301409172).

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

161735328 is a wasteful number, since it uses less digits than its factorization.

161735328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3923 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 161735328 is about 12717.5205130560. The cubic root of 161735328 is about 544.8391389012.

The spelling of 161735328 in words is "one hundred sixty-one million, seven hundred thirty-five thousand, three hundred twenty-eight".