82743696 has 240 divisors, whose sum is σ = 285981696. Its totient is φ = 21821184.

The previous prime is 82743691. The next prime is 82743697. The reversal of 82743696 is 69634728.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82743691) 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, 996871 + ... + 996953.

Almost surely, 2^82743696 is an apocalyptic number.

82743696 is a gapful number since it is divisible by the number (86) 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 82743696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

82743696 is an abundant number, since it is smaller than the sum of its proper divisors (203238000).

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

82743696 is a wasteful number, since it uses less digits than its factorization.

82743696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 82743696 is about 9096.3561935535. The cubic root of 82743696 is about 435.7576017033.

The spelling of 82743696 in words is "eighty-two million, seven hundred forty-three thousand, six hundred ninety-six".