42623120 has 20 divisors (see below), whose sum is σ = 99098940. Its totient is φ = 17049216.

The previous prime is 42623101. The next prime is 42623123. The reversal of 42623120 is 2132624.

It can be written as a sum of positive squares in 2 ways, for example, as 11397376 + 31225744 = 3376^2 + 5588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42623092 and 42623101.

It is not an unprimeable number, because it can be changed into a prime (42623123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266315 + ... + 266474.

It is an arithmetic number, because the mean of its divisors is an integer number (4954947).

Almost surely, 2^42623120 is an apocalyptic number.

42623120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42623120 is an abundant number, since it is smaller than the sum of its proper divisors (56475820).

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

42623120 is a wasteful number, since it uses less digits than its factorization.

42623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532802 (or 532796 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42623120 is about 6528.6384491715. The cubic root of 42623120 is about 349.3132656861.

Adding to 42623120 its reverse (2132624), we get a palindrome (44755744).

The spelling of 42623120 in words is "forty-two million, six hundred twenty-three thousand, one hundred twenty".