82070604 has 192 divisors, whose sum is σ = 270950400. Its totient is φ = 20865600.

The previous prime is 82070603. The next prime is 82070629. The reversal of 82070604 is 40607028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82070603) 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 63 ways as a sum of consecutive naturals, for example, 590367 + ... + 590505.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^82070604 is an apocalyptic number.

82070604 is a gapful number since it is divisible by the number (84) 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 82070604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

82070604 is an abundant number, since it is smaller than the sum of its proper divisors (188879796).

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

82070604 is a wasteful number, since it uses less digits than its factorization.

82070604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82070604 is about 9059.2827530661. The cubic root of 82070604 is about 434.5728029576.

The spelling of 82070604 in words is "eighty-two million, seventy thousand, six hundred four".