1075270240 has 192 divisors, whose sum is σ = 2931489792. Its totient is φ = 368896000.

The previous prime is 1075270237. The next prime is 1075270297. The reversal of 1075270240 is 420725701.

It is a junction number, because it is equal to n+sod(n) for n = 1075270199 and 1075270208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4088349 + ... + 4088611.

It is an arithmetic number, because the mean of its divisors is an integer number (15268176).

Almost surely, 2^1075270240 is an apocalyptic number.

1075270240 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 1075270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465744896).

1075270240 is an abundant number, since it is smaller than the sum of its proper divisors (1856219552).

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

1075270240 is a wasteful number, since it uses less digits than its factorization.

1075270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 1075270240 is about 32791.3134839091. The cubic root of 1075270240 is about 1024.4856400063.

Adding to 1075270240 its reverse (420725701), we get a palindrome (1495995941).

The spelling of 1075270240 in words is "one billion, seventy-five million, two hundred seventy thousand, two hundred forty".