8142624 has 108 divisors (see below), whose sum is σ = 26982774. Its totient is φ = 2322432.

The previous prime is 8142619. The next prime is 8142637. The reversal of 8142624 is 4262418.

It can be written as a sum of positive squares in only one way, i.e., 4410000 + 3732624 = 2100^2 + 1932^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13824 + ... + 14400.

Almost surely, 2^8142624 is an apocalyptic number.

8142624 is a gapful number since it is divisible by the number (84) 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 8142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491387).

8142624 is an abundant number, since it is smaller than the sum of its proper divisors (18840150).

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

8142624 is a wasteful number, since it uses less digits than its factorization.

8142624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 8142624 is about 2853.5283422458. The cubic root of 8142624 is about 201.1815394108.

The spelling of 8142624 in words is "eight million, one hundred forty-two thousand, six hundred twenty-four".