82263456 has 144 divisors (see below), whose sum is σ = 266535360. Its totient is φ = 23823360.

The previous prime is 82263443. The next prime is 82263487. The reversal of 82263456 is 65436228.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82263456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72300 + ... + 73428.

It is an arithmetic number, because the mean of its divisors is an integer number (1850940).

Almost surely, 2^82263456 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 82263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133267680).

82263456 is an abundant number, since it is smaller than the sum of its proper divisors (184271904).

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

82263456 is a wasteful number, since it uses less digits than its factorization.

82263456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1168 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 82263456 is about 9069.9203965636. The cubic root of 82263456 is about 434.9129274790.

The spelling of 82263456 in words is "eighty-two million, two hundred sixty-three thousand, four hundred fifty-six".