82948680 has 192 divisors, whose sum is σ = 289598400. Its totient is φ = 20528640.

The previous prime is 82948669. The next prime is 82948687. The reversal of 82948680 is 8684928.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (82948687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458190 + ... + 458370.

It is an arithmetic number, because the mean of its divisors is an integer number (1508325).

Almost surely, 2^82948680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144799200).

82948680 is an abundant number, since it is smaller than the sum of its proper divisors (206649720).

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

82948680 is a wasteful number, since it uses less digits than its factorization.

82948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 82948680 is about 9107.6165927206. The cubic root of 82948680 is about 436.1171444059.

The spelling of 82948680 in words is "eighty-two million, nine hundred forty-eight thousand, six hundred eighty".