42500760 has 64 divisors (see below), whose sum is σ = 128412000. Its totient is φ = 11252736.

The previous prime is 42500749. The next prime is 42500761. The reversal of 42500760 is 6700524.

It is a happy number.

It is a super-3 number, since 3×42500760³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42500760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42500761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16692 + ... + 19068.

Almost surely, 2^42500760 is an apocalyptic number.

42500760 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 42500760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64206000).

42500760 is an abundant number, since it is smaller than the sum of its proper divisors (85911240).

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

42500760 is a wasteful number, since it uses less digits than its factorization.

42500760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 42500760 is about 6519.2606942812. The cubic root of 42500760 is about 348.9786825073.

The spelling of 42500760 in words is "forty-two million, five hundred thousand, seven hundred sixty".