42761520 has 100 divisors (see below), whose sum is σ = 148539600. Its totient is φ = 11401344.

The previous prime is 42761507. The next prime is 42761527. The reversal of 42761520 is 2516724.

42761520 is a `hidden beast` number, since 4 + 27 + 615 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42761527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3181 + ... + 9779.

It is an arithmetic number, because the mean of its divisors is an integer number (1485396).

Almost surely, 2^42761520 is an apocalyptic number.

42761520 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 42761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74269800).

42761520 is an abundant number, since it is smaller than the sum of its proper divisors (105778080).

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

42761520 is a wasteful number, since it uses less digits than its factorization.

42761520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42761520 is about 6539.2293123884. The cubic root of 42761520 is about 349.6909380524.

The spelling of 42761520 in words is "forty-two million, seven hundred sixty-one thousand, five hundred twenty".