82365480 has 48 divisors (see below), whose sum is σ = 267688980. Its totient is φ = 21964032.

The previous prime is 82365457. The next prime is 82365499. The reversal of 82365480 is 8456328.

82365480 is a `hidden beast` number, since 82 + 36 + 548 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78747876 + 3617604 = 8874^2 + 1902^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 114037 + ... + 114756.

Almost surely, 2^82365480 is an apocalyptic number.

It is an amenable number.

82365480 is an abundant number, since it is smaller than the sum of its proper divisors (185323500).

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

82365480 is a wasteful number, since it uses less digits than its factorization.

82365480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228810 (or 228803 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82365480 is about 9075.5429589639. The cubic root of 82365480 is about 435.0926477256.

The spelling of 82365480 in words is "eighty-two million, three hundred sixty-five thousand, four hundred eighty".