42534624 has 96 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 12600320.

The previous prime is 42534601. The next prime is 42534637. The reversal of 42534624 is 42643524.

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

It is a junction number, because it is equal to n+sod(n) for n = 42534591 and 42534600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49204 + ... + 50060.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^42534624 is an apocalyptic number.

42534624 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 42534624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

42534624 is an abundant number, since it is smaller than the sum of its proper divisors (82005792).

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

42534624 is a wasteful number, since it uses less digits than its factorization.

42534624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 42534624 is about 6521.8574041449. The cubic root of 42534624 is about 349.0713449816.

Subtracting 42534624 from its reverse (42643524), we obtain a square (108900 = 330²).

The spelling of 42534624 in words is "forty-two million, five hundred thirty-four thousand, six hundred twenty-four".