81822048 has 96 divisors (see below), whose sum is σ = 267805440. Its totient is φ = 21250560.

The previous prime is 81822047. The next prime is 81822053. The reversal of 81822048 is 84022818.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81822043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858 + ... + 12926.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 2^81822048 is an apocalyptic number.

81822048 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 81822048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

81822048 is an abundant number, since it is smaller than the sum of its proper divisors (185983392).

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

81822048 is a wasteful number, since it uses less digits than its factorization.

81822048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 81822048 is about 9045.5540460494. The cubic root of 81822048 is about 434.1336489436.

The spelling of 81822048 in words is "eighty-one million, eight hundred twenty-two thousand, forty-eight".