820158264 has 128 divisors (see below), whose sum is σ = 2347488000. Its totient is φ = 265168512.

The previous prime is 820158259. The next prime is 820158271. The reversal of 820158264 is 462851028.

820158264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2108182 + ... + 2108570.

It is an arithmetic number, because the mean of its divisors is an integer number (18339750).

Almost surely, 2^820158264 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 820158264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173744000).

820158264 is an abundant number, since it is smaller than the sum of its proper divisors (1527329736).

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

820158264 is a wasteful number, since it uses less digits than its factorization.

820158264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 820158264 is about 28638.4054025359. The cubic root of 820158264 is about 936.0503753295.

The spelling of 820158264 in words is "eight hundred twenty million, one hundred fifty-eight thousand, two hundred sixty-four".