42602624 has 64 divisors (see below), whose sum is σ = 91800000. Its totient is φ = 19633152.

The previous prime is 42602603. The next prime is 42602657. The reversal of 42602624 is 42620624.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 42602593 and 42602602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85127 + ... + 85625.

It is an arithmetic number, because the mean of its divisors is an integer number (1434375).

Almost surely, 2^42602624 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 42602624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45900000).

42602624 is an abundant number, since it is smaller than the sum of its proper divisors (49197376).

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

42602624 is a wasteful number, since it uses less digits than its factorization.

42602624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 42602624 is about 6527.0685610004. The cubic root of 42602624 is about 349.2572657766.

The spelling of 42602624 in words is "forty-two million, six hundred two thousand, six hundred twenty-four".