1075506640 has 80 divisors (see below), whose sum is σ = 2750323968. Its totient is φ = 388643328.

The previous prime is 1075506631. The next prime is 1075506659. The reversal of 1075506640 is 466055701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1075506596 and 1075506605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37879 + ... + 59881.

Almost surely, 2^1075506640 is an apocalyptic number.

1075506640 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 1075506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375161984).

1075506640 is an abundant number, since it is smaller than the sum of its proper divisors (1674817328).

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

1075506640 is a wasteful number, since it uses less digits than its factorization.

1075506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22076 (or 22070 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 1075506640 is about 32794.9178989672. The cubic root of 1075506640 is about 1024.5607128113.

The spelling of 1075506640 in words is "one billion, seventy-five million, five hundred six thousand, six hundred forty".