820354860 has 288 divisors, whose sum is σ = 2841366528. Its totient is φ = 190149120.

The previous prime is 820354859. The next prime is 820354883. The reversal of 820354860 is 68453028.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3119089 + ... + 3119351.

It is an arithmetic number, because the mean of its divisors is an integer number (9865856).

Almost surely, 2^820354860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820354860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420683264).

820354860 is an abundant number, since it is smaller than the sum of its proper divisors (2021011668).

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

820354860 is a wasteful number, since it uses less digits than its factorization.

820354860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 820354860 is about 28641.8375807140. The cubic root of 820354860 is about 936.1251613254.

The spelling of 820354860 in words is "eight hundred twenty million, three hundred fifty-four thousand, eight hundred sixty".