1024113600 has 126 divisors (see below), whose sum is σ = 3639992720. Its totient is φ = 273093120.

The previous prime is 1024113593. The next prime is 1024113619. The reversal of 1024113600 is 63114201.

It is a happy number.

1024113600 is a `hidden beast` number, since 10 + 2 + 41 + 13 + 600 = 666.

1024113600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21160 + ... + 49959.

Almost surely, 2^1024113600 is an apocalyptic number.

1024113600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024113600 is an abundant number, since it is smaller than the sum of its proper divisors (2615879120).

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

1024113600 is a wasteful number, since it uses less digits than its factorization.

1024113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71147 (or 71129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1024113600 is about 32001.7749507742. The cubic root of 1024113600 is about 1007.9741112021.

Adding to 1024113600 its reverse (63114201), we get a palindrome (1087227801).

The spelling of 1024113600 in words is "one billion, twenty-four million, one hundred thirteen thousand, six hundred".