161088400 has 120 divisors (see below), whose sum is σ = 436186368. Its totient is φ = 56640000.

The previous prime is 161088391. The next prime is 161088409. The reversal of 161088400 is 4880161.

It is an interprime number because it is at equal distance from previous prime (161088391) and next prime (161088409).

It is a super-2 number, since 2×161088400² = 51898945229120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161088409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135810 + ... + 136990.

Almost surely, 2^161088400 is an apocalyptic number.

161088400 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 161088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218093184).

161088400 is an abundant number, since it is smaller than the sum of its proper divisors (275097968).

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

161088400 is a wasteful number, since it uses less digits than its factorization.

161088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 161088400 is about 12692.0605104136. The cubic root of 161088400 is about 544.1117309430. Note that the first 3 decimals are identical.

Subtracting from 161088400 its product of nonzero digits (1536), we obtain a square (161086864 = 12692²).

The spelling of 161088400 in words is "one hundred sixty-one million, eighty-eight thousand, four hundred".