161006496 has 96 divisors (see below), whose sum is σ = 485388288. Its totient is φ = 45776640.

The previous prime is 161006449. The next prime is 161006497. The reversal of 161006496 is 694600161.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (161006497) by changing a digit.

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, 176281 + ... + 177191.

It is an arithmetic number, because the mean of its divisors is an integer number (5056128).

Almost surely, 2^161006496 is an apocalyptic number.

161006496 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 161006496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242694144).

161006496 is an abundant number, since it is smaller than the sum of its proper divisors (324381792).

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

161006496 is a wasteful number, since it uses less digits than its factorization.

161006496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 161006496 is about 12688.8335161275. The cubic root of 161006496 is about 544.0194990127.

The spelling of 161006496 in words is "one hundred sixty-one million, six thousand, four hundred ninety-six".