8742456 has 96 divisors (see below), whose sum is σ = 25272000. Its totient is φ = 2725632.

The previous prime is 8742449. The next prime is 8742463. The reversal of 8742456 is 6542478.

It is an interprime number because it is at equal distance from previous prime (8742449) and next prime (8742463).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8742456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110625 + ... + 110703.

It is an arithmetic number, because the mean of its divisors is an integer number (263250).

Almost surely, 2^8742456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8742456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636000).

8742456 is an abundant number, since it is smaller than the sum of its proper divisors (16529544).

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

8742456 is a wasteful number, since it uses less digits than its factorization.

8742456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 8742456 is about 2956.7644478382. The cubic root of 8742456 is about 206.0050270555.

The spelling of 8742456 in words is "eight million, seven hundred forty-two thousand, four hundred fifty-six".