1075366720 has 56 divisors (see below), whose sum is σ = 2568321000. Its totient is φ = 428869632.

The previous prime is 1075366717. The next prime is 1075366727. The reversal of 1075366720 is 276635701.

It can be written as a sum of positive squares in 4 ways, for example, as 537497856 + 537868864 = 23184^2 + 23192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1075366720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075366727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106866 + ... + 116494.

It is an arithmetic number, because the mean of its divisors is an integer number (45862875).

Almost surely, 2^1075366720 is an apocalyptic number.

1075366720 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 1075366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284160500).

1075366720 is an abundant number, since it is smaller than the sum of its proper divisors (1492954280).

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

1075366720 is an equidigital number, since it uses as much as digits as its factorization.

1075366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 1075366720 is about 32792.7845722195. The cubic root of 1075366720 is about 1024.5162801855.

The spelling of 1075366720 in words is "one billion, seventy-five million, three hundred sixty-six thousand, seven hundred twenty".