820208960 has 28 divisors (see below), whose sum is σ = 1953123348. Its totient is φ = 328083456.

The previous prime is 820208923. The next prime is 820208971. The reversal of 820208960 is 69802028.

It can be written as a sum of positive squares in 2 ways, for example, as 470369344 + 349839616 = 21688^2 + 18704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 820208960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1281257 + ... + 1281896.

Almost surely, 2^820208960 is an apocalyptic number.

820208960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820208960 is an abundant number, since it is smaller than the sum of its proper divisors (1132914388).

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

820208960 is a wasteful number, since it uses less digits than its factorization.

820208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563170 (or 2563160 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 820208960 is about 28639.2904940049. The cubic root of 820208960 is about 936.0696614577.

The spelling of 820208960 in words is "eight hundred twenty million, two hundred eight thousand, nine hundred sixty".