8742006 has 80 divisors (see below), whose sum is σ = 24149664. Its totient is φ = 2301696.

The previous prime is 8741989. The next prime is 8742011. The reversal of 8742006 is 6002478.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14446 + ... + 15038.

Almost surely, 2^8742006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8742006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074832).

8742006 is an abundant number, since it is smaller than the sum of its proper divisors (15407658).

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

8742006 is a wasteful number, since it uses less digits than its factorization.

8742006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8742006 is about 2956.6883501648. The cubic root of 8742006 is about 206.0014924327.

The spelling of 8742006 in words is "eight million, seven hundred forty-two thousand, six".