81567360 has 432 divisors, whose sum is σ = 348055110. Its totient is φ = 17547264.

The previous prime is 81567349. The next prime is 81567373. The reversal of 81567360 is 6376518.

It can be written as a sum of positive squares in 3 ways, for example, as 79281216 + 2286144 = 8904^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4798072 + ... + 4798088.

Almost surely, 2^81567360 is an apocalyptic number.

81567360 is a gapful number since it is divisible by the number (80) 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 81567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174027555).

81567360 is an abundant number, since it is smaller than the sum of its proper divisors (266487750).

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

81567360 is a wasteful number, since it uses less digits than its factorization.

81567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 81567360 is about 9031.4649974409. The cubic root of 81567360 is about 433.6827372604.

The spelling of 81567360 in words is "eighty-one million, five hundred sixty-seven thousand, three hundred sixty".