161096040 has 160 divisors (see below), whose sum is σ = 618900480. Its totient is φ = 36816768.

The previous prime is 161096009. The next prime is 161096051. The reversal of 161096040 is 40690161.

161096040 is a `hidden beast` number, since 1 + 610 + 9 + 6 + 0 + 40 = 666.

It is a super-3 number, since 3×161096040³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 161095995 and 161096013.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 19129 + ... + 26231.

It is an arithmetic number, because the mean of its divisors is an integer number (3868128).

Almost surely, 2^161096040 is an apocalyptic number.

161096040 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 161096040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309450240).

161096040 is an abundant number, since it is smaller than the sum of its proper divisors (457804440).

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

161096040 is a wasteful number, since it uses less digits than its factorization.

161096040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 161096040 is about 12692.3614824035. The cubic root of 161096040 is about 544.1203327374.

The spelling of 161096040 in words is "one hundred sixty-one million, ninety-six thousand, forty".