42360880 has 120 divisors (see below), whose sum is σ = 110818800. Its totient is φ = 14999040.

The previous prime is 42360869. The next prime is 42360881. The reversal of 42360880 is 8806324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (42360881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366465 + ... + 1366495.

It is an arithmetic number, because the mean of its divisors is an integer number (923490).

Almost surely, 2^42360880 is an apocalyptic number.

42360880 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 42360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55409400).

42360880 is an abundant number, since it is smaller than the sum of its proper divisors (68457920).

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

42360880 is a wasteful number, since it uses less digits than its factorization.

42360880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 42360880 is about 6508.5236421173. The cubic root of 42360880 is about 348.5954047316.

The spelling of 42360880 in words is "forty-two million, three hundred sixty thousand, eight hundred eighty".