42652624 has 40 divisors (see below), whose sum is σ = 94914560. Its totient is φ = 18188928.

The previous prime is 42652613. The next prime is 42652633. The reversal of 42652624 is 42625624.

It is a congruent number.

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, 24817 + ... + 26479.

It is an arithmetic number, because the mean of its divisors is an integer number (2372864).

Almost surely, 2^42652624 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 42652624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47457280).

42652624 is an abundant number, since it is smaller than the sum of its proper divisors (52261936).

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

42652624 is a wasteful number, since it uses less digits than its factorization.

42652624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 42652624 is about 6530.8976412129. The cubic root of 42652624 is about 349.3938460653.

Subtracting from 42652624 its reverse (42625624), we obtain a cube (27000 = 30³).

It can be divided in two parts, 4265 and 2624, that added together give a square (6889 = 83²).

The spelling of 42652624 in words is "forty-two million, six hundred fifty-two thousand, six hundred twenty-four".