820086288 has 40 divisors (see below), whose sum is σ = 2421208128. Its totient is φ = 234310272.

The previous prime is 820086263. The next prime is 820086301. The reversal of 820086288 is 882680028.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1220031 + ... + 1220702.

Almost surely, 2^820086288 is an apocalyptic number.

It is an amenable number.

820086288 is an abundant number, since it is smaller than the sum of its proper divisors (1601121840).

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

820086288 is a wasteful number, since it uses less digits than its factorization.

820086288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440751 (or 2440745 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 820086288 is about 28637.1487407528. The cubic root of 820086288 is about 936.0229923492.

The spelling of 820086288 in words is "eight hundred twenty million, eighty-six thousand, two hundred eighty-eight".