82647920 has 20 divisors (see below), whose sum is σ = 192156600. Its totient is φ = 33059136.

The previous prime is 82647919. The next prime is 82647937. The reversal of 82647920 is 2974628.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 516470 + ... + 516629.

It is an arithmetic number, because the mean of its divisors is an integer number (9607830).

Almost surely, 2^82647920 is an apocalyptic number.

82647920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82647920 is an abundant number, since it is smaller than the sum of its proper divisors (109508680).

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

82647920 is a wasteful number, since it uses less digits than its factorization.

82647920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033112 (or 1033106 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 82647920 is about 9091.0901436516. The cubic root of 82647920 is about 435.5894066815.

The spelling of 82647920 in words is "eighty-two million, six hundred forty-seven thousand, nine hundred twenty".