82948320 has 384 divisors, whose sum is σ = 359009280. Its totient is φ = 17418240.

The previous prime is 82948303. The next prime is 82948337. The reversal of 82948320 is 2384928.

It is an interprime number because it is at equal distance from previous prime (82948303) and next prime (82948337).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393015 + ... + 393225.

It is an arithmetic number, because the mean of its divisors is an integer number (934920).

Almost surely, 2^82948320 is an apocalyptic number.

82948320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179504640).

82948320 is an abundant number, since it is smaller than the sum of its proper divisors (276060960).

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

82948320 is a wasteful number, since it uses less digits than its factorization.

82948320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82948320 is about 9107.5968290214. The cubic root of 82948320 is about 436.1165134841.

The spelling of 82948320 in words is "eighty-two million, nine hundred forty-eight thousand, three hundred twenty".