42588924 has 96 divisors (see below), whose sum is σ = 118895616. Its totient is φ = 11612160.

The previous prime is 42588911. The next prime is 42588929. The reversal of 42588924 is 42988524.

42588924 = 791² + 792² + ... + 853².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42588929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220572 + ... + 220764.

It is an arithmetic number, because the mean of its divisors is an integer number (1238496).

Almost surely, 2^42588924 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 42588924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59447808).

42588924 is an abundant number, since it is smaller than the sum of its proper divisors (76306692).

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

42588924 is a wasteful number, since it uses less digits than its factorization.

42588924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 42588924 is about 6526.0190008917. The cubic root of 42588924 is about 349.2198241272.

The spelling of 42588924 in words is "forty-two million, five hundred eighty-eight thousand, nine hundred twenty-four".