42515680 has 48 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 16940032.

The previous prime is 42515639. The next prime is 42515713. The reversal of 42515680 is 8651524.

It is a super-3 number, since 3×42515680³ (a number of 24 digits) contains 333 as substring.

It is a zygodrome in base 3.

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, 74436 + ... + 75004.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^42515680 is an apocalyptic number.

42515680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42515680 is an abundant number, since it is smaller than the sum of its proper divisors (58319600).

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

42515680 is a wasteful number, since it uses less digits than its factorization.

42515680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 42515680 is about 6520.4048954034. The cubic root of 42515680 is about 349.0195143480.

The spelling of 42515680 in words is "forty-two million, five hundred fifteen thousand, six hundred eighty".