42787540 has 48 divisors (see below), whose sum is σ = 93768192. Its totient is φ = 16384896.

The previous prime is 42787519. The next prime is 42787541. The reversal of 42787540 is 4578724.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 42787540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42787541) 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, 49149 + ... + 50011.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 2^42787540 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 42787540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884096).

42787540 is an abundant number, since it is smaller than the sum of its proper divisors (50980652).

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

42787540 is a wasteful number, since it uses less digits than its factorization.

42787540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 42787540 is about 6541.2185409142. The cubic root of 42787540 is about 349.7618516003.

The spelling of 42787540 in words is "forty-two million, seven hundred eighty-seven thousand, five hundred forty".