1820642076 has 96 divisors (see below), whose sum is σ = 5178351360. Its totient is φ = 548596800.

The previous prime is 1820642071. The next prime is 1820642077. The reversal of 1820642076 is 6702460281.

1820642076 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 642 + 0 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1820642076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820642071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210795 + ... + 219261.

It is an arithmetic number, because the mean of its divisors is an integer number (53941160).

Almost surely, 2^1820642076 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 1820642076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589175680).

1820642076 is an abundant number, since it is smaller than the sum of its proper divisors (3357709284).

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

1820642076 is a wasteful number, since it uses less digits than its factorization.

1820642076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1820642076 is about 42668.9825986043. The cubic root of 1820642076 is about 1221.0727096617.

The spelling of 1820642076 in words is "one billion, eight hundred twenty million, six hundred forty-two thousand, seventy-six".