82174848 has 128 divisors (see below), whose sum is σ = 262752000. Its totient is φ = 22228992.

The previous prime is 82174819. The next prime is 82174853. The reversal of 82174848 is 84847128.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50268 + ... + 51876.

It is an arithmetic number, because the mean of its divisors is an integer number (2052750).

Almost surely, 2^82174848 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 82174848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131376000).

82174848 is an abundant number, since it is smaller than the sum of its proper divisors (180577152).

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

82174848 is a wasteful number, since it uses less digits than its factorization.

82174848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1640 counting only the distinct ones).

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

The square root of 82174848 is about 9065.0343628692. The cubic root of 82174848 is about 434.7567195622.

The spelling of 82174848 in words is "eighty-two million, one hundred seventy-four thousand, eight hundred forty-eight".