1073118400 has 84 divisors (see below), whose sum is σ = 2712057568. Its totient is φ = 417623040.

The previous prime is 1073118391. The next prime is 1073118419. The reversal of 1073118400 is 48113701.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50137 + ... + 68263.

Almost surely, 2^1073118400 is an apocalyptic number.

1073118400 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 1073118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356028784).

1073118400 is an abundant number, since it is smaller than the sum of its proper divisors (1638939168).

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

1073118400 is a wasteful number, since it uses less digits than its factorization.

1073118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186 (or 18171 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1073118400 is about 32758.4859234977. The cubic root of 1073118400 is about 1023.8017804800.

The spelling of 1073118400 in words is "one billion, seventy-three million, one hundred eighteen thousand, four hundred".