820642593 has 8 divisors (see below), whose sum is σ = 1120877856. Its totient is φ = 533751200.

The previous prime is 820642591. The next prime is 820642727. The reversal of 820642593 is 395246028.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820642593 - 2¹ = 820642591 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820642591) by changing a digit.

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, 3335823 + ... + 3336068.

It is an arithmetic number, because the mean of its divisors is an integer number (140109732).

Almost surely, 2^820642593 is an apocalyptic number.

It is an amenable number.

820642593 is a deficient number, since it is larger than the sum of its proper divisors (300235263).

820642593 is a wasteful number, since it uses less digits than its factorization.

820642593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671935.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 820642593 is about 28646.8600897201. The cubic root of 820642593 is about 936.2345947056.

The spelling of 820642593 in words is "eight hundred twenty million, six hundred forty-two thousand, five hundred ninety-three".