42261520 has 60 divisors (see below), whose sum is σ = 114310764. Its totient is φ = 14488320.

The previous prime is 42261493. The next prime is 42261533. The reversal of 42261520 is 2516224.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 28601104 = 3696^2 + 5348^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42261491 and 42261500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1471 + ... + 9310.

Almost surely, 2^42261520 is an apocalyptic number.

42261520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42261520 is an abundant number, since it is smaller than the sum of its proper divisors (72049244).

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

42261520 is a wasteful number, since it uses less digits than its factorization.

42261520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808 (or 10795 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42261520 is about 6500.8860934491. The cubic root of 42261520 is about 348.3226408405.

Adding to 42261520 its reverse (2516224), we get a palindrome (44777744).

The spelling of 42261520 in words is "forty-two million, two hundred sixty-one thousand, five hundred twenty".