42935760 has 180 divisors, whose sum is σ = 167872068. Its totient is φ = 9805824.

The previous prime is 42935749. The next prime is 42935771. The reversal of 42935760 is 6753924.

It is an interprime number because it is at equal distance from previous prime (42935749) and next prime (42935771).

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 28005264 = 3864^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34672 + ... + 35888.

Almost surely, 2^42935760 is an apocalyptic number.

42935760 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 42935760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83936034).

42935760 is an abundant number, since it is smaller than the sum of its proper divisors (124936308).

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

42935760 is a wasteful number, since it uses less digits than its factorization.

42935760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42935760 is about 6552.5384394141. The cubic root of 42935760 is about 350.1652552944.

The spelling of 42935760 in words is "forty-two million, nine hundred thirty-five thousand, seven hundred sixty".