820004658 has 96 divisors (see below), whose sum is σ = 1863642816. Its totient is φ = 240240000.

The previous prime is 820004651. The next prime is 820004683. The reversal of 820004658 is 856400028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (820004651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886173 + ... + 3886383.

It is an arithmetic number, because the mean of its divisors is an integer number (19412946).

Almost surely, 2^820004658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820004658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931821408).

820004658 is an abundant number, since it is smaller than the sum of its proper divisors (1043638158).

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

820004658 is a wasteful number, since it uses less digits than its factorization.

820004658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 820004658 is about 28635.7234586451. The cubic root of 820004658 is about 935.9919346043.

The spelling of 820004658 in words is "eight hundred twenty million, four thousand, six hundred fifty-eight".