42590592 has 96 divisors (see below), whose sum is σ = 133740360. Its totient is φ = 12902400.

The previous prime is 42590591. The next prime is 42590617. The reversal of 42590592 is 29509524.

It is a happy number.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42590591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10992 + ... + 14352.

Almost surely, 2^42590592 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 42590592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66870180).

42590592 is an abundant number, since it is smaller than the sum of its proper divisors (91149768).

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

42590592 is a wasteful number, since it uses less digits than its factorization.

42590592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 42590592 is about 6526.1467957747. The cubic root of 42590592 is about 349.2243831456.

The spelling of 42590592 in words is "forty-two million, five hundred ninety thousand, five hundred ninety-two".