1008686742 has 96 divisors (see below), whose sum is σ = 2424381696. Its totient is φ = 274000320.

The previous prime is 1008686741. The next prime is 1008686747. The reversal of 1008686742 is 2476868001.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1008686694 and 1008686703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008686741) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2704068 + ... + 2704440.

It is an arithmetic number, because the mean of its divisors is an integer number (25253976).

Almost surely, 2^1008686742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008686742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212190848).

1008686742 is an abundant number, since it is smaller than the sum of its proper divisors (1415694954).

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

1008686742 is a wasteful number, since it uses less digits than its factorization.

1008686742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1008686742 is about 31759.8290612528. The cubic root of 1008686742 is about 1002.8872365092.

The spelling of 1008686742 in words is "one billion, eight million, six hundred eighty-six thousand, seven hundred forty-two".