1249824 has 48 divisors (see below), whose sum is σ = 3362688. Its totient is φ = 406272.

The previous prime is 1249819. The next prime is 1249837. The reversal of 1249824 is 4289421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1249791 and 1249800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4374 + ... + 4650.

It is an arithmetic number, because the mean of its divisors is an integer number (70056).

2^1249824 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 1249824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681344).

1249824 is an abundant number, since it is smaller than the sum of its proper divisors (2112864).

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

1249824 is a wasteful number, since it uses less digits than its factorization.

1249824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1249824 is about 1117.9552763863. The cubic root of 1249824 is about 107.7166785242.

The spelling of 1249824 in words is "one million, two hundred forty-nine thousand, eight hundred twenty-four".