820415 has 16 divisors (see below), whose sum is σ = 1044480. Its totient is φ = 617760.

The previous prime is 820411. The next prime is 820427. The reversal of 820415 is 514028.

It is not a de Polignac number, because 820415 - 2² = 820411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820411) 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 15 ways as a sum of consecutive naturals, for example, 10346 + ... + 10424.

It is an arithmetic number, because the mean of its divisors is an integer number (65280).

2⁸²⁰⁴¹⁵ is an apocalyptic number.

820415 is a deficient number, since it is larger than the sum of its proper divisors (224065).

820415 is a wasteful number, since it uses less digits than its factorization.

820415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 820415 is about 905.7676302452. The cubic root of 820415 is about 93.6148036463.

The spelling of 820415 in words is "eight hundred twenty thousand, four hundred fifteen".