82150848 has 280 divisors, whose sum is σ = 278818848. Its totient is φ = 23721984.

The previous prime is 82150847. The next prime is 82150853. The reversal of 82150848 is 84805128.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82150847) 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 39 ways as a sum of consecutive naturals, for example, 1549990 + ... + 1550042.

Almost surely, 2^82150848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82150848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139409424).

82150848 is an abundant number, since it is smaller than the sum of its proper divisors (196668000).

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

82150848 is a wasteful number, since it uses less digits than its factorization.

82150848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 82150848 is about 9063.7104984658. The cubic root of 82150848 is about 434.7143904007.

The spelling of 82150848 in words is "eighty-two million, one hundred fifty thousand, eight hundred forty-eight".