820150272 has 192 divisors, whose sum is σ = 2480892960. Its totient is φ = 270729216.

The previous prime is 820150267. The next prime is 820150273. The reversal of 820150272 is 272051028.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (820150273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962573 + ... + 7962675.

Almost surely, 2^820150272 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 820150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240446480).

820150272 is an abundant number, since it is smaller than the sum of its proper divisors (1660742688).

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

820150272 is an frugal number, since it uses more digits than its factorization.

820150272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 820150272 is about 28638.2658692875. The cubic root of 820150272 is about 936.0473348843.

The spelling of 820150272 in words is "eight hundred twenty million, one hundred fifty thousand, two hundred seventy-two".