81785088 has 216 divisors, whose sum is σ = 294630336. Its totient is φ = 21196800.

The previous prime is 81785071. The next prime is 81785111. The reversal of 81785088 is 88058718.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177178 + ... + 177638.

Almost surely, 2^81785088 is an apocalyptic number.

81785088 is a gapful number since it is divisible by the number (88) 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 81785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168).

81785088 is an abundant number, since it is smaller than the sum of its proper divisors (212845248).

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

81785088 is a wasteful number, since it uses less digits than its factorization.

81785088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 81785088 is about 9043.5108226839. The cubic root of 81785088 is about 434.0682713073.

It can be divided in two parts, 817 and 85088, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 81785088 in words is "eighty-one million, seven hundred eighty-five thousand, eighty-eight".