42061760 has 56 divisors (see below), whose sum is σ = 107874816. Its totient is φ = 15528960.

The previous prime is 42061751. The next prime is 42061769. The reversal of 42061760 is 6716024.

It is an interprime number because it is at equal distance from previous prime (42061751) and next prime (42061769).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42061769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896 + ... + 9215.

It is an arithmetic number, because the mean of its divisors is an integer number (1926336).

Almost surely, 2^42061760 is an apocalyptic number.

42061760 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 42061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53937408).

42061760 is an abundant number, since it is smaller than the sum of its proper divisors (65813056).

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

42061760 is a wasteful number, since it uses less digits than its factorization.

42061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 42061760 is about 6485.5038354780. The cubic root of 42061760 is about 347.7729615239.

Adding to 42061760 its reverse (6716024), we get a palindrome (48777784).

The spelling of 42061760 in words is "forty-two million, sixty-one thousand, seven hundred sixty".