820162740 has 48 divisors (see below), whose sum is σ = 2417325120. Its totient is φ = 207198720.

The previous prime is 820162667. The next prime is 820162741. The reversal of 820162740 is 47261028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 820162698 and 820162707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820162741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358581 + ... + 360860.

It is an arithmetic number, because the mean of its divisors is an integer number (50360940).

Almost surely, 2^820162740 is an apocalyptic number.

It is an amenable number.

820162740 is an abundant number, since it is smaller than the sum of its proper divisors (1597162380).

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

820162740 is a wasteful number, since it uses less digits than its factorization.

820162740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719472 (or 719470 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 820162740 is about 28638.4835492384. The cubic root of 820162740 is about 936.0520781528.

The spelling of 820162740 in words is "eight hundred twenty million, one hundred sixty-two thousand, seven hundred forty".