1075334400 has 648 divisors, whose sum is σ = 4623037440. Its totient is φ = 243855360.

The previous prime is 1075334383. The next prime is 1075334423. The reversal of 1075334400 is 44335701.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8467137 + ... + 8467263.

Almost surely, 2^1075334400 is an apocalyptic number.

1075334400 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 1075334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311518720).

1075334400 is an abundant number, since it is smaller than the sum of its proper divisors (3547703040).

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

1075334400 is a wasteful number, since it uses less digits than its factorization.

1075334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1075334400 is about 32792.2917771845. The cubic root of 1075334400 is about 1024.5060161837.

The spelling of 1075334400 in words is "one billion, seventy-five million, three hundred thirty-four thousand, four hundred".