42007360 has 56 divisors (see below), whose sum is σ = 100620576. Its totient is φ = 16704000.

The previous prime is 42007333. The next prime is 42007369. The reversal of 42007360 is 6370024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42007369) 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, 80059 + ... + 80581.

It is an arithmetic number, because the mean of its divisors is an integer number (1796796).

Almost surely, 2^42007360 is an apocalyptic number.

42007360 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 42007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50310288).

42007360 is an abundant number, since it is smaller than the sum of its proper divisors (58613216).

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

42007360 is a wasteful number, since it uses less digits than its factorization.

42007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 42007360 is about 6481.3085098613. The cubic root of 42007360 is about 347.6229677123.

Adding to 42007360 its reverse (6370024), we get a palindrome (48377384).

The spelling of 42007360 in words is "forty-two million, seven thousand, three hundred sixty".