82011744 has 96 divisors (see below), whose sum is σ = 249661440. Its totient is φ = 26142336.

The previous prime is 82011661. The next prime is 82011749. The reversal of 82011744 is 44711028.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82011749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17809 + ... + 21935.

It is an arithmetic number, because the mean of its divisors is an integer number (2600640).

Almost surely, 2^82011744 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 82011744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124830720).

82011744 is an abundant number, since it is smaller than the sum of its proper divisors (167649696).

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

82011744 is a wasteful number, since it uses less digits than its factorization.

82011744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82011744 is about 9056.0335688424. The cubic root of 82011744 is about 434.4688880708.

The spelling of 82011744 in words is "eighty-two million, eleven thousand, seven hundred forty-four".