42653120 has 56 divisors (see below), whose sum is σ = 104077008. Its totient is φ = 16640000.

The previous prime is 42653101. The next prime is 42653137. The reversal of 42653120 is 2135624.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11495 + ... + 14745.

It is an arithmetic number, because the mean of its divisors is an integer number (1858518).

Almost surely, 2^42653120 is an apocalyptic number.

42653120 is a gapful number since it is divisible by the number (40) 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 42653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52038504).

42653120 is an abundant number, since it is smaller than the sum of its proper divisors (61423888).

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

42653120 is a wasteful number, since it uses less digits than its factorization.

42653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 42653120 is about 6530.9356144430. The cubic root of 42653120 is about 349.3952004069.

Adding to 42653120 its reverse (2135624), we get a palindrome (44788744).

The spelling of 42653120 in words is "forty-two million, six hundred fifty-three thousand, one hundred twenty".