1027336820 has 24 divisors (see below), whose sum is σ = 2215717224. Its totient is φ = 399828096.

The previous prime is 1027336813. The next prime is 1027336829. The reversal of 1027336820 is 286337201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 308775184 + 718561636 = 17572^2 + 26806^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027336829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693407 + ... + 694886.

It is an arithmetic number, because the mean of its divisors is an integer number (92321551).

Almost surely, 2^1027336820 is an apocalyptic number.

1027336820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027336820 is an abundant number, since it is smaller than the sum of its proper divisors (1188380404).

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

1027336820 is a wasteful number, since it uses less digits than its factorization.

1027336820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388339 (or 1388337 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1027336820 is about 32052.0954073209. The cubic root of 1027336820 is about 1009.0304783176.

The spelling of 1027336820 in words is "one billion, twenty-seven million, three hundred thirty-six thousand, eight hundred twenty".