161582736 has 80 divisors (see below), whose sum is σ = 480826368. Its totient is φ = 45801600.

The previous prime is 161582719. The next prime is 161582767. The reversal of 161582736 is 637285161.

It is a super-2 number, since 2×161582736² = 52217961146491392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161582694 and 161582703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42181 + ... + 45851.

Almost surely, 2^161582736 is an apocalyptic number.

161582736 is a gapful number since it is divisible by the number (16) 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 161582736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240413184).

161582736 is an abundant number, since it is smaller than the sum of its proper divisors (319243632).

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

161582736 is a wasteful number, since it uses less digits than its factorization.

161582736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3814 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 161582736 is about 12711.5198147192. The cubic root of 161582736 is about 544.6677390085.

The spelling of 161582736 in words is "one hundred sixty-one million, five hundred eighty-two thousand, seven hundred thirty-six".