1075273920 has 448 divisors, whose sum is σ = 4529571840. Its totient is φ = 234786816.

The previous prime is 1075273907. The next prime is 1075273921. The reversal of 1075273920 is 293725701.

1075273920 is a `hidden beast` number, since 107 + 527 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1075273921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390654 + ... + 1391426.

Almost surely, 2^1075273920 is an apocalyptic number.

1075273920 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 1075273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264785920).

1075273920 is an abundant number, since it is smaller than the sum of its proper divisors (3454297920).

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

1075273920 is a wasteful number, since it uses less digits than its factorization.

1075273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1075273920 is about 32791.3695962825. The cubic root of 1075273920 is about 1024.4868087367.

The spelling of 1075273920 in words is "one billion, seventy-five million, two hundred seventy-three thousand, nine hundred twenty".