1004122624 has 40 divisors (see below), whose sum is σ = 2010747420. Its totient is φ = 500944896.

The previous prime is 1004122607. The next prime is 1004122657. The reversal of 1004122624 is 4262214001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 761760000 + 242362624 = 27600^2 + 15568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004122595 and 1004122604.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258682 + ... + 262534.

Almost surely, 2^1004122624 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 1004122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005373710).

1004122624 is an abundant number, since it is smaller than the sum of its proper divisors (1006624796).

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

1004122624 is an frugal number, since it uses more digits than its factorization.

1004122624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1004122624 is about 31687.8939659928. The cubic root of 1004122624 is about 1001.3723238657.

Adding to 1004122624 its reverse (4262214001), we get a palindrome (5266336625).

The spelling of 1004122624 in words is "one billion, four million, one hundred twenty-two thousand, six hundred twenty-four".