42632760 has 64 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 11125376.

The previous prime is 42632741. The next prime is 42632773. The reversal of 42632760 is 6723624.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861 + ... + 9419.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^42632760 is an apocalyptic number.

42632760 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 42632760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

42632760 is an abundant number, since it is smaller than the sum of its proper divisors (88004040).

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

42632760 is a wasteful number, since it uses less digits than its factorization.

42632760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 42632760 is about 6529.3766930696. The cubic root of 42632760 is about 349.3395982340.

The spelling of 42632760 in words is "forty-two million, six hundred thirty-two thousand, seven hundred sixty".