8742624 has 96 divisors (see below), whose sum is σ = 26562816. Its totient is φ = 2488320.

The previous prime is 8742623. The next prime is 8742637. The reversal of 8742624 is 4262478.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8742623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17709 + ... + 18195.

It is an arithmetic number, because the mean of its divisors is an integer number (276696).

Almost surely, 2^8742624 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 8742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281408).

8742624 is an abundant number, since it is smaller than the sum of its proper divisors (17820192).

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

8742624 is a wasteful number, since it uses less digits than its factorization.

8742624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 8742624 is about 2956.7928571342. The cubic root of 8742624 is about 206.0063466169.

The spelling of 8742624 in words is "eight million, seven hundred forty-two thousand, six hundred twenty-four".