8742000 has 160 divisors (see below), whose sum is σ = 29712384. Its totient is φ = 2208000.

The previous prime is 8741989. The next prime is 8742011. The reversal of 8742000 is 2478.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8741989) and next prime (8742011).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185977 + ... + 186023.

Almost surely, 2^8742000 is an apocalyptic number.

8742000 is a gapful number since it is divisible by the number (80) 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 8742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192).

8742000 is an abundant number, since it is smaller than the sum of its proper divisors (20970384).

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

8742000 is a wasteful number, since it uses less digits than its factorization.

8742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 8742000 is about 2956.6873355159. The cubic root of 8742000 is about 206.0014453036.

Adding to 8742000 its reverse (2478), we get a palindrome (8744478).

The spelling of 8742000 in words is "eight million, seven hundred forty-two thousand".