1306890 has 48 divisors (see below), whose sum is σ = 3662568. Its totient is φ = 321408.

The previous prime is 1306889. The next prime is 1306891. The reversal of 1306890 is 986031.

It is an interprime number because it is at equal distance from previous prime (1306889) and next prime (1306891).

It can be written as a sum of positive squares in 4 ways, for example, as 447561 + 859329 = 669^2 + 927^2 .

It is a super-2 number, since 2×1306890² = 3415922944200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1306891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612 + ... + 1728.

2^1306890 is an apocalyptic number.

1306890 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 1306890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831284).

1306890 is an abundant number, since it is smaller than the sum of its proper divisors (2355678).

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

1306890 is a wasteful number, since it uses less digits than its factorization.

1306890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1306890 is about 1143.1928971088. The cubic root of 1306890 is about 109.3317614124.

The spelling of 1306890 in words is "one million, three hundred six thousand, eight hundred ninety".