82019600 has 60 divisors (see below), whose sum is σ = 212223396. Its totient is φ = 30282240.

The previous prime is 82019593. The next prime is 82019603. The reversal of 82019600 is 691028.

It can be written as a sum of positive squares in 6 ways, for example, as 6885376 + 75134224 = 2624^2 + 8668^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 82019600.

It is not an unprimeable number, because it can be changed into a prime (82019603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2687 + ... + 13086.

Almost surely, 2^82019600 is an apocalyptic number.

82019600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82019600 is an abundant number, since it is smaller than the sum of its proper divisors (130203796).

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

82019600 is a wasteful number, since it uses less digits than its factorization.

82019600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15804 (or 15793 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 82019600 is about 9056.4673024309. The cubic root of 82019600 is about 434.4827603873.

The spelling of 82019600 in words is "eighty-two million, nineteen thousand, six hundred".