1768416 has 72 divisors (see below), whose sum is σ = 5072760. Its totient is φ = 539136.

The previous prime is 1768411. The next prime is 1768421. The reversal of 1768416 is 6148671.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1768411) and next prime (1768421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16170 + ... + 16278.

It is an arithmetic number, because the mean of its divisors is an integer number (70455).

2^1768416 is an apocalyptic number.

1768416 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 1768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536380).

1768416 is an abundant number, since it is smaller than the sum of its proper divisors (3304344).

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

1768416 is a wasteful number, since it uses less digits than its factorization.

1768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 1768416 is about 1329.8180326646. The cubic root of 1768416 is about 120.9283550096.

The spelling of 1768416 in words is "one million, seven hundred sixty-eight thousand, four hundred sixteen".