42607760 has 80 divisors (see below), whose sum is σ = 108836784. Its totient is φ = 15415296.

The previous prime is 42607727. The next prime is 42607769. The reversal of 42607760 is 6770624.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6990736 + 35617024 = 2644^2 + 5968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42607769) 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, 54734 + ... + 55506.

Almost surely, 2^42607760 is an apocalyptic number.

42607760 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 42607760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54418392).

42607760 is an abundant number, since it is smaller than the sum of its proper divisors (66229024).

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

42607760 is a wasteful number, since it uses less digits than its factorization.

42607760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 42607760 is about 6527.4619876335. The cubic root of 42607760 is about 349.2713002270.

The spelling of 42607760 in words is "forty-two million, six hundred seven thousand, seven hundred sixty".