81760224 has 192 divisors, whose sum is σ = 270950400. Its totient is φ = 21450240.

The previous prime is 81760201. The next prime is 81760247. The reversal of 81760224 is 42206718.

It is an interprime number because it is at equal distance from previous prime (81760201) and next prime (81760247).

It is a junction number, because it is equal to n+sod(n) for n = 81760191 and 81760200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427969 + ... + 428159.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^81760224 is an apocalyptic number.

81760224 is a gapful number since it is divisible by the number (84) 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 81760224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

81760224 is an abundant number, since it is smaller than the sum of its proper divisors (189190176).

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

81760224 is a wasteful number, since it uses less digits than its factorization.

81760224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 81760224 is about 9042.1360308281. The cubic root of 81760224 is about 434.0242789054.

The spelling of 81760224 in words is "eighty-one million, seven hundred sixty thousand, two hundred twenty-four".