82906470 has 64 divisors (see below), whose sum is σ = 224432640. Its totient is φ = 21773664.

The previous prime is 82906463. The next prime is 82906477. The reversal of 82906470 is 7460928.

82906470 is a `hidden beast` number, since 8 + 2 + 9 + 0 + 647 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82906463) and next prime (82906477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82906477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15799 + ... + 20381.

It is an arithmetic number, because the mean of its divisors is an integer number (3506760).

Almost surely, 2^82906470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82906470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112216320).

82906470 is an abundant number, since it is smaller than the sum of its proper divisors (141526170).

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

82906470 is a wasteful number, since it uses less digits than its factorization.

82906470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82906470 is about 9105.2990066225. The cubic root of 82906470 is about 436.0431563768.

The spelling of 82906470 in words is "eighty-two million, nine hundred six thousand, four hundred seventy".