161960400 has 180 divisors, whose sum is σ = 642440032. Its totient is φ = 37013760.

The previous prime is 161960387. The next prime is 161960401. The reversal of 161960400 is 4069161.

161960400 is a `hidden beast` number, since 1 + 619 + 6 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161960401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 21987 + ... + 28413.

Almost surely, 2^161960400 is an apocalyptic number.

161960400 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 161960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321220016).

161960400 is an abundant number, since it is smaller than the sum of its proper divisors (480479632).

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

161960400 is a wasteful number, since it uses less digits than its factorization.

161960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6444 counting only the distinct ones).

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

The square root of 161960400 is about 12726.3663313610. The cubic root of 161960400 is about 545.0917557265.

The spelling of 161960400 in words is "one hundred sixty-one million, nine hundred sixty thousand, four hundred".