820416 has 28 divisors (see below), whose sum is σ = 2171192. Its totient is φ = 273408.

The previous prime is 820411. The next prime is 820427. The reversal of 820416 is 614028.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 820392 and 820401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820416.

It is not an unprimeable number, because it can be changed into a prime (820411) by changing a digit.

820416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1945 + ... + 2328.

2⁸²⁰⁴¹⁶ is an apocalyptic number.

It is an amenable number.

820416 is an abundant number, since it is smaller than the sum of its proper divisors (1350776).

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

820416 is a wasteful number, since it uses less digits than its factorization.

820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 820416 is about 905.7681822630. The cubic root of 820416 is about 93.6148416819.

The spelling of 820416 in words is "eight hundred twenty thousand, four hundred sixteen".