1007424 has 112 divisors (see below), whose sum is σ = 3291840. Its totient is φ = 299520.

The previous prime is 1007417. The next prime is 1007429. The reversal of 1007424 is 4247001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1007397 and 1007406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18982 + ... + 19034.

2^1007424 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 1007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645920).

1007424 is an abundant number, since it is smaller than the sum of its proper divisors (2284416).

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

1007424 is a wasteful number, since it uses less digits than its factorization.

1007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1007424 is about 1003.7051359837. The cubic root of 1007424 is about 100.2468567825.

It can be divided in two parts, 1007 and 424, that added together give a triangular number (1431 = T₅₃).

The spelling of 1007424 in words is "one million, seven thousand, four hundred twenty-four".