81412416 has 168 divisors, whose sum is σ = 252801120. Its totient is φ = 24966144.

The previous prime is 81412411. The next prime is 81412453. The reversal of 81412416 is 61421418.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 81412416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81412411) 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, 470506 + ... + 470678.

Almost surely, 2^81412416 is an apocalyptic number.

81412416 is a gapful number since it is divisible by the number (86) 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 81412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126400560).

81412416 is an abundant number, since it is smaller than the sum of its proper divisors (171388704).

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

81412416 is a wasteful number, since it uses less digits than its factorization.

81412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 81412416 is about 9022.8829095805. The cubic root of 81412416 is about 433.4079576939.

The spelling of 81412416 in words is "eighty-one million, four hundred twelve thousand, four hundred sixteen".