42961560 has 64 divisors (see below), whose sum is σ = 129945600. Its totient is φ = 11362176.

The previous prime is 42961559. The next prime is 42961561. The reversal of 42961560 is 6516924.

It is an interprime number because it is at equal distance from previous prime (42961559) and next prime (42961561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42961561) 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, 13831 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (2030400).

Almost surely, 2^42961560 is an apocalyptic number.

42961560 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 42961560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64972800).

42961560 is an abundant number, since it is smaller than the sum of its proper divisors (86984040).

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

42961560 is a wasteful number, since it uses less digits than its factorization.

42961560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 42961560 is about 6554.5068464378. The cubic root of 42961560 is about 350.2353790843.

The spelling of 42961560 in words is "forty-two million, nine hundred sixty-one thousand, five hundred sixty".