1075461120 has 132 divisors (see below), whose sum is σ = 3726604440. Its totient is φ = 286777344.

The previous prime is 1075461091. The next prime is 1075461131. The reversal of 1075461120 is 211645701.

It is a happy number.

1075461120 is a `hidden beast` number, since 1 + 0 + 7 + 546 + 112 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34411 + ... + 57749.

Almost surely, 2^1075461120 is an apocalyptic number.

1075461120 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 1075461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863302220).

1075461120 is an abundant number, since it is smaller than the sum of its proper divisors (2651143320).

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

1075461120 is a wasteful number, since it uses less digits than its factorization.

1075461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23370 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1075461120 is about 32794.2238816533. The cubic root of 1075461120 is about 1024.5462580232.

The spelling of 1075461120 in words is "one billion, seventy-five million, four hundred sixty-one thousand, one hundred twenty".