161330400 has 576 divisors, whose sum is σ = 734952960. Its totient is φ = 33177600.

The previous prime is 161330381. The next prime is 161330401. The reversal of 161330400 is 4033161.

161330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161330401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1663152 + ... + 1663248.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^161330400 is an apocalyptic number.

161330400 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 161330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367476480).

161330400 is an abundant number, since it is smaller than the sum of its proper divisors (573622560).

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

161330400 is a wasteful number, since it uses less digits than its factorization.

161330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 161330400 is about 12701.5904515931. The cubic root of 161330400 is about 544.3840641386.

Adding to 161330400 its reverse (4033161), we get a palindrome (165363561).

The spelling of 161330400 in words is "one hundred sixty-one million, three hundred thirty thousand, four hundred".