81400176 has 240 divisors, whose sum is σ = 276232320. Its totient is φ = 22049280.

The previous prime is 81400171. The next prime is 81400217. The reversal of 81400176 is 67100418.

It is a happy number.

It is a super-3 number, since 3×81400176³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81400171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214895 + ... + 1214961.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^81400176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81400176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

81400176 is an abundant number, since it is smaller than the sum of its proper divisors (194832144).

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

81400176 is a wasteful number, since it uses less digits than its factorization.

81400176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 81400176 is about 9022.2046086309. The cubic root of 81400176 is about 433.3862362762.

The spelling of 81400176 in words is "eighty-one million, four hundred thousand, one hundred seventy-six".