42991560 has 96 divisors (see below), whose sum is σ = 144930240. Its totient is φ = 11461824.

The previous prime is 42991541. The next prime is 42991567. The reversal of 42991560 is 6519924.

42991560 is a `hidden beast` number, since 4 + 2 + 9 + 91 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42991567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7509 + ... + 11931.

It is an arithmetic number, because the mean of its divisors is an integer number (1509690).

Almost surely, 2^42991560 is an apocalyptic number.

42991560 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 42991560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465120).

42991560 is an abundant number, since it is smaller than the sum of its proper divisors (101938680).

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

42991560 is a wasteful number, since it uses less digits than its factorization.

42991560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 42991560 is about 6556.7949487535. The cubic root of 42991560 is about 350.3168830818.

The spelling of 42991560 in words is "forty-two million, nine hundred ninety-one thousand, five hundred sixty".