42363680 has 48 divisors (see below), whose sum is σ = 100812600. Its totient is φ = 16822272.

The previous prime is 42363679. The next prime is 42363689. The reversal of 42363680 is 8636324.

It can be written as a sum of positive squares in 4 ways, for example, as 25684624 + 16679056 = 5068^2 + 4084^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42363689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22952 + ... + 24728.

Almost surely, 2^42363680 is an apocalyptic number.

42363680 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 42363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50406300).

42363680 is an abundant number, since it is smaller than the sum of its proper divisors (58448920).

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

42363680 is a wasteful number, since it uses less digits than its factorization.

42363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 42363680 is about 6508.7387411080. The cubic root of 42363680 is about 348.6030851325.

The spelling of 42363680 in words is "forty-two million, three hundred sixty-three thousand, six hundred eighty".