1048638624 has 96 divisors (see below), whose sum is σ = 3053998080. Its totient is φ = 312364800.

The previous prime is 1048638611. The next prime is 1048638629. The reversal of 1048638624 is 4268368401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1048638624² = 2199285927489226752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1048638629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53889 + ... + 70719.

It is an arithmetic number, because the mean of its divisors is an integer number (31812480).

Almost surely, 2^1048638624 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 1048638624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526999040).

1048638624 is an abundant number, since it is smaller than the sum of its proper divisors (2005359456).

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

1048638624 is a wasteful number, since it uses less digits than its factorization.

1048638624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16914 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1048638624 is about 32382.6901909029. The cubic root of 1048638624 is about 1015.9568977519.

The spelling of 1048638624 in words is "one billion, forty-eight million, six hundred thirty-eight thousand, six hundred twenty-four".