1075488960 has 336 divisors, whose sum is σ = 4230233856. Its totient is φ = 226676736.

The previous prime is 1075488941. The next prime is 1075488961. The reversal of 1075488960 is 698845701.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075488961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135207 + ... + 1136153.

Almost surely, 2^1075488960 is an apocalyptic number.

1075488960 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 1075488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115116928).

1075488960 is an abundant number, since it is smaller than the sum of its proper divisors (3154744896).

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

1075488960 is a wasteful number, since it uses less digits than its factorization.

1075488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1075488960 is about 32794.6483438990. The cubic root of 1075488960 is about 1024.5550986099. Note that the first 3 decimals are identical.

The spelling of 1075488960 in words is "one billion, seventy-five million, four hundred eighty-eight thousand, nine hundred sixty".