161260416 has 128 divisors (see below), whose sum is σ = 492660000. Its totient is φ = 51867648.

The previous prime is 161260381. The next prime is 161260427. The reversal of 161260416 is 614062161.

161260416 is a `hidden beast` number, since 1 + 612 + 6 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 161260416.

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 15 ways as a sum of consecutive naturals, for example, 99420 + ... + 101028.

Almost surely, 2^161260416 is an apocalyptic number.

161260416 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 161260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246330000).

161260416 is an abundant number, since it is smaller than the sum of its proper divisors (331399584).

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

161260416 is a wasteful number, since it uses less digits than its factorization.

161260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161260416 is about 12698.8352221769. The cubic root of 161260416 is about 544.3053360861.

The spelling of 161260416 in words is "one hundred sixty-one million, two hundred sixty thousand, four hundred sixteen".