1145892960 has 384 divisors, whose sum is σ = 4219568640. Its totient is φ = 290138112.

The previous prime is 1145892953. The next prime is 1145892961. The reversal of 1145892960 is 692985411.

1145892960 is a `hidden beast` number, since 1 + 1 + 4 + 589 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145892961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10709227 + ... + 10709333.

It is an arithmetic number, because the mean of its divisors is an integer number (10988460).

Almost surely, 2^1145892960 is an apocalyptic number.

1145892960 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 1145892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109784320).

1145892960 is an abundant number, since it is smaller than the sum of its proper divisors (3073675680).

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

1145892960 is a wasteful number, since it uses less digits than its factorization.

1145892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1145892960 is about 33851.0407520951. The cubic root of 1145892960 is about 1046.4408472397.

The spelling of 1145892960 in words is "one billion, one hundred forty-five million, eight hundred ninety-two thousand, nine hundred sixty".