1006681959 has 64 divisors (see below), whose sum is σ = 1638144000. Its totient is φ = 608549760.

The previous prime is 1006681957. The next prime is 1006681967. The reversal of 1006681959 is 9591866001.

It is not a de Polignac number, because 1006681959 - 2¹ = 1006681957 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006681957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2335474 + ... + 2335904.

It is an arithmetic number, because the mean of its divisors is an integer number (25596000).

Almost surely, 2^1006681959 is an apocalyptic number.

1006681959 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1006681959 is a deficient number, since it is larger than the sum of its proper divisors (631462041).

1006681959 is a wasteful number, since it uses less digits than its factorization.

1006681959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1006681959 is about 31728.2517482448. The cubic root of 1006681959 is about 1002.2223770482. Note that the first 3 decimals are identical.

The spelling of 1006681959 in words is "one billion, six million, six hundred eighty-one thousand, nine hundred fifty-nine".