1071136820 has 48 divisors (see below), whose sum is σ = 2462165328. Its totient is φ = 389007360.

The previous prime is 1071136819. The next prime is 1071136873. The reversal of 1071136820 is 286311701.

It can be written as a sum of positive squares in 8 ways, for example, as 597900304 + 473236516 = 24452^2 + 21754^2 .

It is a super-2 number, since 2×1071136820² = 2294668174319424800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17909 + ... + 49628.

It is an arithmetic number, because the mean of its divisors is an integer number (51295111).

Almost surely, 2^1071136820 is an apocalyptic number.

1071136820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071136820 is an abundant number, since it is smaller than the sum of its proper divisors (1391028508).

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

1071136820 is a wasteful number, since it uses less digits than its factorization.

1071136820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67620 (or 67618 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1071136820 is about 32728.2266552895. The cubic root of 1071136820 is about 1023.1712209352.

The spelling of 1071136820 in words is "one billion, seventy-one million, one hundred thirty-six thousand, eight hundred twenty".