1145746560 has 256 divisors, whose sum is σ = 4207426560. Its totient is φ = 259780608.

The previous prime is 1145746549. The next prime is 1145746579. The reversal of 1145746560 is 656475411.

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, 2190459 + ... + 2190981.

It is an arithmetic number, because the mean of its divisors is an integer number (16435260).

Almost surely, 2^1145746560 is an apocalyptic number.

1145746560 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 1145746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103713280).

1145746560 is an abundant number, since it is smaller than the sum of its proper divisors (3061680000).

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

1145746560 is a wasteful number, since it uses less digits than its factorization.

1145746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1145746560 is about 33848.8782679722. The cubic root of 1145746560 is about 1046.3962806964.

The spelling of 1145746560 in words is "one billion, one hundred forty-five million, seven hundred forty-six thousand, five hundred sixty".