1340416 has 88 divisors (see below), whose sum is σ = 3537216. Its totient is φ = 491520.

The previous prime is 1340411. The next prime is 1340419. The reversal of 1340416 is 6140431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×1340416³ = 7225036813671333888, which contains 333 as substring.

It is a hoax number, since the sum of its digits (19) 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 = 1340393 and 1340402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340411) 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, 78840 + ... + 78856.

2^1340416 is an apocalyptic number.

1340416 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 1340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768608).

1340416 is an abundant number, since it is smaller than the sum of its proper divisors (2196800).

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

1340416 is a wasteful number, since it uses less digits than its factorization.

1340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1340416 is about 1157.7633609680. The cubic root of 1340416 is about 110.2587846484.

Adding to 1340416 its reverse (6140431), we get a palindrome (7480847).

The spelling of 1340416 in words is "one million, three hundred forty thousand, four hundred sixteen".