82394208 has 144 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 24855552.

The previous prime is 82394201. The next prime is 82394233. The reversal of 82394208 is 80249328.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (82394201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220710 + ... + 221082.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 2^82394208 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 82394208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

82394208 is an abundant number, since it is smaller than the sum of its proper divisors (174902832).

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

82394208 is a wasteful number, since it uses less digits than its factorization.

82394208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82394208 is about 9077.1255362036. The cubic root of 82394208 is about 435.1432267168.

The spelling of 82394208 in words is "eighty-two million, three hundred ninety-four thousand, two hundred eight".