82019840 has 160 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 26763264.

The previous prime is 82019837. The next prime is 82019851. The reversal of 82019840 is 4891028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 82019797 and 82019806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412061 + ... + 412259.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^82019840 is an apocalyptic number.

82019840 is a gapful number since it is divisible by the number (80) 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 82019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

82019840 is an abundant number, since it is smaller than the sum of its proper divisors (153679360).

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

82019840 is a wasteful number, since it uses less digits than its factorization.

82019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 82019840 is about 9056.4805526209. The cubic root of 82019840 is about 434.4831841712.

The spelling of 82019840 in words is "eighty-two million, nineteen thousand, eight hundred forty".