1306356990 has 64 divisors (see below), whose sum is σ = 3277228032. Its totient is φ = 332640000.

The previous prime is 1306356979. The next prime is 1306356991. The reversal of 1306356990 is 996536031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306356991) 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, 516930 + ... + 519450.

It is an arithmetic number, because the mean of its divisors is an integer number (51206688).

Almost surely, 2^1306356990 is an apocalyptic number.

1306356990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306356990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638614016).

1306356990 is an abundant number, since it is smaller than the sum of its proper divisors (1970871042).

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

1306356990 is a wasteful number, since it uses less digits than its factorization.

1306356990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305.

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 1306356990 is about 36143.5608373054. The cubic root of 1306356990 is about 1093.1689588014.

The spelling of 1306356990 in words is "one billion, three hundred six million, three hundred fifty-six thousand, nine hundred ninety".