42587424 has 96 divisors (see below), whose sum is σ = 135535680. Its totient is φ = 12902400.

The previous prime is 42587401. The next prime is 42587429. The reversal of 42587424 is 42478524.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (42587429) 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, 7264 + ... + 11744.

It is an arithmetic number, because the mean of its divisors is an integer number (1411830).

Almost surely, 2^42587424 is an apocalyptic number.

42587424 is a gapful number since it is divisible by the number (44) 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 42587424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67767840).

42587424 is an abundant number, since it is smaller than the sum of its proper divisors (92948256).

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

42587424 is a wasteful number, since it uses less digits than its factorization.

42587424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4497 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42587424 is about 6525.9040752987. The cubic root of 42587424 is about 349.2157241889.

Subtracting from 42587424 its reverse (42478524), we obtain a square (108900 = 330²).

The spelling of 42587424 in words is "forty-two million, five hundred eighty-seven thousand, four hundred twenty-four".