82065610 has 64 divisors (see below), whose sum is σ = 170035200. Its totient is φ = 28226880.

The previous prime is 82065601. The next prime is 82065611. The reversal of 82065610 is 1656028.

It is not an unprimeable number, because it can be changed into a prime (82065611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412291 + ... + 412489.

It is an arithmetic number, because the mean of its divisors is an integer number (2656800).

Almost surely, 2^82065610 is an apocalyptic number.

82065610 is an abundant number, since it is smaller than the sum of its proper divisors (87969590).

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

82065610 is a wasteful number, since it uses less digits than its factorization.

82065610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 82065610 is about 9059.0071199884. The cubic root of 82065610 is about 434.5639881872.

It can be divided in two parts, 820 and 65610, that added together give a triangular number (66430 = T₃₆₄).

The spelling of 82065610 in words is "eighty-two million, sixty-five thousand, six hundred ten".