82270944 has 192 divisors, whose sum is σ = 279982080. Its totient is φ = 23016960.

The previous prime is 82270919. The next prime is 82270963. The reversal of 82270944 is 44907228.

It is a super-2 number, since 2×82270944² = 13537016453302272, which contains 22 as substring.

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 = 82270899 and 82270908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368817 + ... + 369039.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^82270944 is an apocalyptic number.

82270944 is a gapful number since it is divisible by the number (84) 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 82270944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

82270944 is an abundant number, since it is smaller than the sum of its proper divisors (197711136).

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

82270944 is a wasteful number, since it uses less digits than its factorization.

82270944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82270944 is about 9070.3331802090. Note that the first 3 decimals coincide. The cubic root of 82270944 is about 434.9261230069.

The spelling of 82270944 in words is "eighty-two million, two hundred seventy thousand, nine hundred forty-four".