161006976 has 144 divisors (see below), whose sum is σ = 502302060. Its totient is φ = 49480704.

The previous prime is 161006971. The next prime is 161006981. The reversal of 161006976 is 679600161.

It is an interprime number because it is at equal distance from previous prime (161006971) and next prime (161006981).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 161006976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161006971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194275 + ... + 195101.

Almost surely, 2^161006976 is an apocalyptic number.

161006976 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 161006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251151030).

161006976 is an abundant number, since it is smaller than the sum of its proper divisors (341295084).

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

161006976 is a wasteful number, since it uses less digits than its factorization.

161006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 161006976 is about 12688.8524303816. The cubic root of 161006976 is about 544.0200396309.

The spelling of 161006976 in words is "one hundred sixty-one million, six thousand, nine hundred seventy-six".