1073253600 has 216 divisors, whose sum is σ = 3949715952. Its totient is φ = 273715200.

The previous prime is 1073253593. The next prime is 1073253619. The reversal of 1073253600 is 63523701.

It is a happy number.

1073253600 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 2 + 53 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162360 + ... + 168840.

It is an arithmetic number, because the mean of its divisors is an integer number (18285722).

Almost surely, 2^1073253600 is an apocalyptic number.

1073253600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974857976).

1073253600 is an abundant number, since it is smaller than the sum of its proper divisors (2876462352).

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

1073253600 is a wasteful number, since it uses less digits than its factorization.

1073253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1073253600 is about 32760.5494459418. The cubic root of 1073253600 is about 1023.8447742411.

The spelling of 1073253600 in words is "one billion, seventy-three million, two hundred fifty-three thousand, six hundred".