42510624 has 96 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 12503040.

The previous prime is 42510613. The next prime is 42510631. The reversal of 42510624 is 42601524.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 42510594 and 42510603.

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, 27964 + ... + 29444.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^42510624 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 42510624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

42510624 is an abundant number, since it is smaller than the sum of its proper divisors (82973280).

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

42510624 is a wasteful number, since it uses less digits than its factorization.

42510624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42510624 is about 6520.0171778915. The cubic root of 42510624 is about 349.0056785692.

It can be divided in two parts, 42510 and 624, that added together give a palindrome (43134).

The spelling of 42510624 in words is "forty-two million, five hundred ten thousand, six hundred twenty-four".