42641760 has 240 divisors, whose sum is σ = 160934256. Its totient is φ = 9483264.

The previous prime is 42641717. The next prime is 42641761. The reversal of 42641760 is 6714624.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 518 × 490 × 168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42641761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152462 + ... + 1152498.

Almost surely, 2^42641760 is an apocalyptic number.

42641760 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 42641760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80467128).

42641760 is an abundant number, since it is smaller than the sum of its proper divisors (118292496).

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

42641760 is an equidigital number, since it uses as much as digits as its factorization.

42641760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42641760 is about 6530.0658495914. The cubic root of 42641760 is about 349.3641789803.

The spelling of 42641760 in words is "forty-two million, six hundred forty-one thousand, seven hundred sixty".