81742848 has 176 divisors, whose sum is σ = 247605120. Its totient is φ = 23756800.

The previous prime is 81742847. The next prime is 81742849. The reversal of 81742848 is 84824718.

It is an interprime number because it is at equal distance from previous prime (81742847) and next prime (81742849).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×81742848² = 13363786398302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81742847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1385443 + ... + 1385501.

Almost surely, 2^81742848 is an apocalyptic number.

81742848 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 81742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123802560).

81742848 is an abundant number, since it is smaller than the sum of its proper divisors (165862272).

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

81742848 is a wasteful number, since it uses less digits than its factorization.

81742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 81742848 is about 9041.1751448581. The cubic root of 81742848 is about 433.9935298858.

The spelling of 81742848 in words is "eighty-one million, seven hundred forty-two thousand, eight hundred forty-eight".