820222416 has 80 divisors (see below), whose sum is σ = 2535462720. Its totient is φ = 252374400.

The previous prime is 820222393. The next prime is 820222423. The reversal of 820222416 is 614222028.

It is a happy number.

820222416 is a `hidden beast` number, since 8 + 20 + 222 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 820222416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67410 + ... + 78641.

It is an arithmetic number, because the mean of its divisors is an integer number (31693284).

Almost surely, 2^820222416 is an apocalyptic number.

It is an amenable number.

820222416 is an abundant number, since it is smaller than the sum of its proper divisors (1715240304).

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

820222416 is a wasteful number, since it uses less digits than its factorization.

820222416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146081 (or 146069 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 820222416 is about 28639.5254150623. The cubic root of 820222416 is about 936.0747803502.

The spelling of 820222416 in words is "eight hundred twenty million, two hundred twenty-two thousand, four hundred sixteen".