1145527680 has 256 divisors, whose sum is σ = 4043312640. Its totient is φ = 273530880.

The previous prime is 1145527667. The next prime is 1145527709. The reversal of 1145527680 is 867255411.

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, 1541389 + ... + 1542131.

It is an arithmetic number, because the mean of its divisors is an integer number (15794190).

Almost surely, 2^1145527680 is an apocalyptic number.

1145527680 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 1145527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021656320).

1145527680 is an abundant number, since it is smaller than the sum of its proper divisors (2897784960).

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

1145527680 is a wasteful number, since it uses less digits than its factorization.

1145527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 1145527680 is about 33845.6449192507. The cubic root of 1145527680 is about 1046.3296429797.

It can be divided in two parts, 1145 and 527680, that added together give a palindrome (528825).

The spelling of 1145527680 in words is "one billion, one hundred forty-five million, five hundred twenty-seven thousand, six hundred eighty".