1468736 has 28 divisors (see below), whose sum is σ = 2976372. Its totient is φ = 718848.

The previous prime is 1468729. The next prime is 1468739. The reversal of 1468736 is 6378641.

It can be written as a sum of positive squares in 2 ways, for example, as 577600 + 891136 = 760^2 + 944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1468696 and 1468705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3176 + ... + 3608.

It is an arithmetic number, because the mean of its divisors is an integer number (106299).

2^1468736 is an apocalyptic number.

1468736 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 1468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488186).

1468736 is an abundant number, since it is smaller than the sum of its proper divisors (1507636).

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

1468736 is an equidigital number, since it uses as much as digits as its factorization.

1468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 1468736 is about 1211.9141883813. The cubic root of 1468736 is about 113.6705374262.

The spelling of 1468736 in words is "one million, four hundred sixty-eight thousand, seven hundred thirty-six".