161004480 has 448 divisors, whose sum is σ = 669096960. Its totient is φ = 31850496.

The previous prime is 161004463. The next prime is 161004497. The reversal of 161004480 is 84400161.

It is an interprime number because it is at equal distance from previous prime (161004463) and next prime (161004497).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 161004480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659792 + ... + 1659888.

It is an arithmetic number, because the mean of its divisors is an integer number (1493520).

Almost surely, 2^161004480 is an apocalyptic number.

161004480 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 161004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334548480).

161004480 is an abundant number, since it is smaller than the sum of its proper divisors (508092480).

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

161004480 is a wasteful number, since it uses less digits than its factorization.

161004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 161004480 is about 12688.7540759525. The cubic root of 161004480 is about 544.0172284048.

The spelling of 161004480 in words is "one hundred sixty-one million, four thousand, four hundred eighty".