820350108 has 36 divisors (see below), whose sum is σ = 2163824208. Its totient is φ = 261560640.

The previous prime is 820350103. The next prime is 820350119. The reversal of 820350108 is 801053028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×820350108² = 1345948599391223328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820350103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494553 + ... + 496208.

It is an arithmetic number, because the mean of its divisors is an integer number (60106228).

Almost surely, 2^820350108 is an apocalyptic number.

It is an amenable number.

820350108 is an abundant number, since it is smaller than the sum of its proper divisors (1343474100).

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

820350108 is a wasteful number, since it uses less digits than its factorization.

820350108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990794 (or 990789 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 820350108 is about 28641.7546250225. The cubic root of 820350108 is about 936.1233537843.

It can be divided in two parts, 8203 and 50108, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 820350108 in words is "eight hundred twenty million, three hundred fifty thousand, one hundred eight".