820945272 has 128 divisors (see below), whose sum is σ = 2392473600. Its totient is φ = 229920768.

The previous prime is 820945267. The next prime is 820945277. The reversal of 820945272 is 272549028.

820945272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820945267) and next prime (820945277).

It is a super-2 number, since 2×820945272² = 1347902279238307968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820945272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820945277) 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, 2325448 + ... + 2325800.

It is an arithmetic number, because the mean of its divisors is an integer number (18691200).

Almost surely, 2^820945272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820945272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196236800).

820945272 is an abundant number, since it is smaller than the sum of its proper divisors (1571528328).

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

820945272 is a wasteful number, since it uses less digits than its factorization.

820945272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 820945272 is about 28652.1425376882. The cubic root of 820945272 is about 936.3496848885.

The spelling of 820945272 in words is "eight hundred twenty million, nine hundred forty-five thousand, two hundred seventy-two".