1006235136 has 200 divisors, whose sum is σ = 3163893480. Its totient is φ = 317509632.

The previous prime is 1006235129. The next prime is 1006235141. The reversal of 1006235136 is 6315326001.

1006235136 is a `hidden beast` number, since 1 + 0 + 0 + 623 + 5 + 1 + 36 = 666.

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 19 ways as a sum of consecutive naturals, for example, 787330 + ... + 788606.

Almost surely, 2^1006235136 is an apocalyptic number.

1006235136 is a gapful number since it is divisible by the number (16) 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 1006235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581946740).

1006235136 is an abundant number, since it is smaller than the sum of its proper divisors (2157658344).

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

1006235136 is an equidigital number, since it uses as much as digits as its factorization.

1006235136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1006235136 is about 31721.2095607970. The cubic root of 1006235136 is about 1002.0740739100.

The spelling of 1006235136 in words is "one billion, six million, two hundred thirty-five thousand, one hundred thirty-six".