1249416 has 96 divisors (see below), whose sum is σ = 4031040. Its totient is φ = 342144.

The previous prime is 1249411. The next prime is 1249427. The reversal of 1249416 is 6149421.

1249416 is a `hidden beast` number, since 1 + 249 + 416 = 666.

It is a super-2 number, since 2×1249416² = 3122080682112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1249416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18615 + ... + 18681.

It is an arithmetic number, because the mean of its divisors is an integer number (41990).

2^1249416 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 1249416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015520).

1249416 is an abundant number, since it is smaller than the sum of its proper divisors (2781624).

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

1249416 is a wasteful number, since it uses less digits than its factorization.

1249416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1249416 is about 1117.7727854980. The cubic root of 1249416 is about 107.7049560236.

The spelling of 1249416 in words is "one million, two hundred forty-nine thousand, four hundred sixteen".