42662592 has 112 divisors (see below), whose sum is σ = 143377920. Its totient is φ = 12185856.

The previous prime is 42662569. The next prime is 42662597. The reversal of 42662592 is 29526624.

42662592 is a `hidden beast` number, since 4 + 2 + 6 + 62 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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 (42662597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10333 + ... + 13859.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^42662592 is an apocalyptic number.

42662592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42662592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

42662592 is an abundant number, since it is smaller than the sum of its proper divisors (100715328).

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

42662592 is a wasteful number, since it uses less digits than its factorization.

42662592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3539 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42662592 is about 6531.6607382809. The cubic root of 42662592 is about 349.4210619491.

The spelling of 42662592 in words is "forty-two million, six hundred sixty-two thousand, five hundred ninety-two".