820114556 has 24 divisors (see below), whose sum is σ = 1511784960. Its totient is φ = 388206000.

The previous prime is 820114553. The next prime is 820114567. The reversal of 820114556 is 655411028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820114553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145511 + ... + 151041.

It is an arithmetic number, because the mean of its divisors is an integer number (62991040).

Almost surely, 2^820114556 is an apocalyptic number.

It is an amenable number.

820114556 is a deficient number, since it is larger than the sum of its proper divisors (691670404).

820114556 is a wasteful number, since it uses less digits than its factorization.

820114556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 820114556 is about 28637.6422912222. The cubic root of 820114556 is about 936.0337469874.

It can be divided in two parts, 82011 and 4556, that multiplied together give a triangular number (373642116 = T₂₇₃₃₆).

The spelling of 820114556 in words is "eight hundred twenty million, one hundred fourteen thousand, five hundred fifty-six".