42680512 has 56 divisors (see below), whose sum is σ = 98901504. Its totient is φ = 17893632.

The previous prime is 42680507. The next prime is 42680527. The reversal of 42680512 is 21508624.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×42680512² = 3643252209164288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20043 + ... + 22069.

Almost surely, 2^42680512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49450752).

42680512 is an abundant number, since it is smaller than the sum of its proper divisors (56220992).

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

42680512 is a wasteful number, since it uses less digits than its factorization.

42680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 42680512 is about 6533.0323740205. The cubic root of 42680512 is about 349.4699787217.

The spelling of 42680512 in words is "forty-two million, six hundred eighty thousand, five hundred twelve".