1306416 has 40 divisors (see below), whose sum is σ = 3575664. Its totient is φ = 409600.

The previous prime is 1306411. The next prime is 1306429. The reversal of 1306416 is 6146031.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1306392 and 1306401.

It is not an unprimeable number, because it can be changed into a prime (1306411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 1616.

2^1306416 is an apocalyptic number.

1306416 is a gapful number since it is divisible by the number (16) 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 1306416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787832).

1306416 is an abundant number, since it is smaller than the sum of its proper divisors (2269248).

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

1306416 is a wasteful number, since it uses less digits than its factorization.

1306416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1306416 is about 1142.9855642133. The cubic root of 1306416 is about 109.3185418552.

The spelling of 1306416 in words is "one million, three hundred six thousand, four hundred sixteen".