1145006064 has 160 divisors (see below), whose sum is σ = 3429423360. Its totient is φ = 365444352.

The previous prime is 1145006047. The next prime is 1145006077. The reversal of 1145006064 is 4606005411.

1145006064 is a `hidden beast` number, since 1 + 1 + 4 + 50 + 0 + 606 + 4 = 666.

It is a super-2 number, since 2×1145006064² = 2622077773193544192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983947 + ... + 985109.

It is an arithmetic number, because the mean of its divisors is an integer number (21433896).

Almost surely, 2^1145006064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714711680).

1145006064 is an abundant number, since it is smaller than the sum of its proper divisors (2284417296).

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

1145006064 is a wasteful number, since it uses less digits than its factorization.

1145006064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1145006064 is about 33837.9382350639. The cubic root of 1145006064 is about 1046.1708034759.

The spelling of 1145006064 in words is "one billion, one hundred forty-five million, six thousand, sixty-four".