82744416 has 84 divisors (see below), whose sum is σ = 244311732. Its totient is φ = 27573696.

The previous prime is 82744391. The next prime is 82744421. The reversal of 82744416 is 61444728.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21555 + ... + 25101.

It is an arithmetic number, because the mean of its divisors is an integer number (2908473).

Almost surely, 2^82744416 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 82744416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122155866).

82744416 is an abundant number, since it is smaller than the sum of its proper divisors (161567316).

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

82744416 is an equidigital number, since it uses as much as digits as its factorization.

82744416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3552 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 82744416 is about 9096.3957697541. The cubic root of 82744416 is about 435.7588656246.

The spelling of 82744416 in words is "eighty-two million, seven hundred forty-four thousand, four hundred sixteen".