161894400 has 312 divisors, whose sum is σ = 585033984. Its totient is φ = 39321600.

The previous prime is 161894399. The next prime is 161894419. The reversal of 161894400 is 4498161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222385 + ... + 5222415.

Almost surely, 2^161894400 is an apocalyptic number.

161894400 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 161894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292516992).

161894400 is an abundant number, since it is smaller than the sum of its proper divisors (423139584).

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

161894400 is a wasteful number, since it uses less digits than its factorization.

161894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 161894400 is about 12723.7730253255. The cubic root of 161894400 is about 545.0177027608.

The spelling of 161894400 in words is "one hundred sixty-one million, eight hundred ninety-four thousand, four hundred".