1316834820 has 360 divisors, whose sum is σ = 4911712344. Its totient is φ = 294368256.

The previous prime is 1316834819. The next prime is 1316834863. The reversal of 1316834820 is 284386131.

1316834820 is a `hidden beast` number, since 13 + 168 + 3 + 482 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 1307690244 = 3024^2 + 36162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4206984 + ... + 4207296.

Almost surely, 2^1316834820 is an apocalyptic number.

1316834820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316834820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455856172).

1316834820 is an abundant number, since it is smaller than the sum of its proper divisors (3594877524).

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

1316834820 is a wasteful number, since it uses less digits than its factorization.

1316834820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1316834820 is about 36288.2187493407. The cubic root of 1316834820 is about 1096.0838208666.

It can be divided in two parts, 131683 and 4820, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 1316834820 in words is "one billion, three hundred sixteen million, eight hundred thirty-four thousand, eight hundred twenty".