1254016 has 32 divisors (see below), whose sum is σ = 2548980. Its totient is φ = 614400.

The previous prime is 1254013. The next prime is 1254017. The reversal of 1254016 is 6104521.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 87616 = 1080^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1254016² = 3145112256512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1253984 and 1254002.

It is not an unprimeable number, because it can be changed into a prime (1254013) 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, 12366 + ... + 12466.

2^1254016 is an apocalyptic number.

1254016 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 1254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274490).

1254016 is an abundant number, since it is smaller than the sum of its proper divisors (1294964).

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

1254016 is an equidigital number, since it uses as much as digits as its factorization.

1254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1254016 is about 1119.8285583070. The cubic root of 1254016 is about 107.8369739720.

Adding to 1254016 its reverse (6104521), we get a palindrome (7358537).

The spelling of 1254016 in words is "one million, two hundred fifty-four thousand, sixteen".