82895670 has 256 divisors, whose sum is σ = 275788800. Its totient is φ = 17418240.

The previous prime is 82895663. The next prime is 82895671. The reversal of 82895670 is 7659828.

82895670 is a `hidden beast` number, since 8 + 2 + 89 + 567 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82895671) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 733534 + ... + 733646.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^82895670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82895670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

82895670 is an abundant number, since it is smaller than the sum of its proper divisors (192893130).

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

82895670 is a wasteful number, since it uses less digits than its factorization.

82895670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82895670 is about 9104.7059260582. The cubic root of 82895670 is about 436.0242215032.

The spelling of 82895670 in words is "eighty-two million, eight hundred ninety-five thousand, six hundred seventy".