1145047680 has 288 divisors, whose sum is σ = 4600676340. Its totient is φ = 261660672.

The previous prime is 1145047639. The next prime is 1145047721. The reversal of 1145047680 is 867405411.

It is a happy number.

1145047680 is a `hidden beast` number, since 1 + 1 + 4 + 504 + 76 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1145047639) and next prime (1145047721).

It can be written as a sum of positive squares in 2 ways, for example, as 1140277824 + 4769856 = 33768^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1145047680² = 2622268378946764800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280212 + ... + 284268.

Almost surely, 2^1145047680 is an apocalyptic number.

1145047680 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 1145047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300338170).

1145047680 is an abundant number, since it is smaller than the sum of its proper divisors (3455628660).

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

1145047680 is a wasteful number, since it uses less digits than its factorization.

1145047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1145047680 is about 33838.5531605593. The cubic root of 1145047680 is about 1046.1834779115.

The spelling of 1145047680 in words is "one billion, one hundred forty-five million, forty-seven thousand, six hundred eighty".