1145466720 has 144 divisors (see below), whose sum is σ = 4014738000. Its totient is φ = 297188352.

The previous prime is 1145466719. The next prime is 1145466787. The reversal of 1145466720 is 276645411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 42531 + ... + 64029.

It is an arithmetic number, because the mean of its divisors is an integer number (27880125).

Almost surely, 2^1145466720 is an apocalyptic number.

1145466720 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 1145466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007369000).

1145466720 is an abundant number, since it is smaller than the sum of its proper divisors (2869271280).

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

1145466720 is a wasteful number, since it uses less digits than its factorization.

1145466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21557 (or 21546 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1145466720 is about 33844.7443482736. The cubic root of 1145466720 is about 1046.3110822798.

The spelling of 1145466720 in words is "one billion, one hundred forty-five million, four hundred sixty-six thousand, seven hundred twenty".