82019040 has 48 divisors (see below), whose sum is σ = 258361488. Its totient is φ = 21871616.

The previous prime is 82018967. The next prime is 82019057. The reversal of 82019040 is 4091028.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82019040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84957 + ... + 85916.

It is an arithmetic number, because the mean of its divisors is an integer number (5382531).

Almost surely, 2^82019040 is an apocalyptic number.

82019040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82019040 is an abundant number, since it is smaller than the sum of its proper divisors (176342448).

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

82019040 is a wasteful number, since it uses less digits than its factorization.

82019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170891 (or 170883 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 82019040 is about 9056.4363852456. The cubic root of 82019040 is about 434.4817715549.

The spelling of 82019040 in words is "eighty-two million, nineteen thousand, forty".