82306464 has 48 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 27372800.

The previous prime is 82306459. The next prime is 82306501. The reversal of 82306464 is 46460328.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62614 + ... + 63914.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2^82306464 is an apocalyptic number.

It is an amenable number.

82306464 is an abundant number, since it is smaller than the sum of its proper divisors (134242176).

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

82306464 is a wasteful number, since it uses less digits than its factorization.

82306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 82306464 is about 9072.2910006238. The cubic root of 82306464 is about 434.9887062730.

The spelling of 82306464 in words is "eighty-two million, three hundred six thousand, four hundred sixty-four".