1285416 has 64 divisors (see below), whose sum is σ = 3902400. Its totient is φ = 388800.

The previous prime is 1285411. The next prime is 1285429. The reversal of 1285416 is 6145821.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1285416.

It is not an unprimeable number, because it can be changed into a prime (1285411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106 + ... + 2646.

It is an arithmetic number, because the mean of its divisors is an integer number (60975).

2^1285416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951200).

1285416 is an abundant number, since it is smaller than the sum of its proper divisors (2616984).

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

1285416 is a wasteful number, since it uses less digits than its factorization.

1285416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1285416 is about 1133.7618797614. The cubic root of 1285416 is about 108.7296275750.

The spelling of 1285416 in words is "one million, two hundred eighty-five thousand, four hundred sixteen".