81527040 has 288 divisors, whose sum is σ = 331618560. Its totient is φ = 18579456.

The previous prime is 81527027. The next prime is 81527041. The reversal of 81527040 is 4072518.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 81526995 and 81527013.

It is not an unprimeable number, because it can be changed into a prime (81527041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241752 + ... + 242088.

Almost surely, 2^81527040 is an apocalyptic number.

81527040 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 81527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165809280).

81527040 is an abundant number, since it is smaller than the sum of its proper divisors (250091520).

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

81527040 is a wasteful number, since it uses less digits than its factorization.

81527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 81527040 is about 9029.2325255251. The cubic root of 81527040 is about 433.6112668015.

Adding to 81527040 its reverse (4072518), we get a palindrome (85599558).

The spelling of 81527040 in words is "eighty-one million, five hundred twenty-seven thousand, forty".