820942560 has 192 divisors, whose sum is σ = 2887315200. Its totient is φ = 217852416.

The previous prime is 820942543. The next prime is 820942567. The reversal of 820942560 is 65249028.

It is a happy number.

820942560 is a `hidden beast` number, since 8 + 2 + 0 + 94 + 2 + 560 = 666.

820942560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820942567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325931 + ... + 1326549.

It is an arithmetic number, because the mean of its divisors is an integer number (15038100).

Almost surely, 2^820942560 is an apocalyptic number.

820942560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443657600).

820942560 is an abundant number, since it is smaller than the sum of its proper divisors (2066372640).

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

820942560 is a wasteful number, since it uses less digits than its factorization.

820942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 820942560 is about 28652.0952113454. The cubic root of 820942560 is about 936.3486538076.

The spelling of 820942560 in words is "eight hundred twenty million, nine hundred forty-two thousand, five hundred sixty".