82093680 has 240 divisors, whose sum is σ = 308149920. Its totient is φ = 19464192.

The previous prime is 82093667. The next prime is 82093681. The reversal of 82093680 is 8639028.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82093681) 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, 232384 + ... + 232736.

It is an arithmetic number, because the mean of its divisors is an integer number (1283958).

Almost surely, 2^82093680 is an apocalyptic number.

82093680 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 82093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154074960).

82093680 is an abundant number, since it is smaller than the sum of its proper divisors (226056240).

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

82093680 is a wasteful number, since it uses less digits than its factorization.

82093680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82093680 is about 9060.5562743134. The cubic root of 82093680 is about 434.6135291201.

The spelling of 82093680 in words is "eighty-two million, ninety-three thousand, six hundred eighty".