1006193664 has 220 divisors, whose sum is σ = 3435914064. Its totient is φ = 287318016.

The previous prime is 1006193663. The next prime is 1006193677. The reversal of 1006193664 is 4663916001.

1006193664 is a `hidden beast` number, since 1 + 0 + 0 + 619 + 36 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1006193663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579742 + ... + 581474.

Almost surely, 2^1006193664 is an apocalyptic number.

1006193664 is a gapful number since it is divisible by the number (14) 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 1006193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717957032).

1006193664 is an abundant number, since it is smaller than the sum of its proper divisors (2429720400).

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

1006193664 is an equidigital number, since it uses as much as digits as its factorization.

1006193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1006193664 is about 31720.5558589379. Note that the first 3 decimals coincide. The cubic root of 1006193664 is about 1002.0603068870.

The spelling of 1006193664 in words is "one billion, six million, one hundred ninety-three thousand, six hundred sixty-four".