82096740 has 240 divisors, whose sum is σ = 298577664. Its totient is φ = 18662400.

The previous prime is 82096727. The next prime is 82096741. The reversal of 82096740 is 4769028.

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

It is a junction number, because it is equal to n+sod(n) for n = 82096695 and 82096704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82096741) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 302805 + ... + 303075.

Almost surely, 2^82096740 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 82096740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

82096740 is an abundant number, since it is smaller than the sum of its proper divisors (216480924).

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

82096740 is a wasteful number, since it uses less digits than its factorization.

82096740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82096740 is about 9060.7251365440. The cubic root of 82096740 is about 434.6189290521.

The spelling of 82096740 in words is "eighty-two million, ninety-six thousand, seven hundred forty".