42688360 has 128 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 13455360.

The previous prime is 42688337. The next prime is 42688363. The reversal of 42688360 is 6388624.

It is a super-3 number, since 3×42688360³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42688363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97021 + ... + 97459.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^42688360 is an apocalyptic number.

42688360 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 42688360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

42688360 is an abundant number, since it is smaller than the sum of its proper divisors (77062040).

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

42688360 is a wasteful number, since it uses less digits than its factorization.

42688360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 42688360 is about 6533.6329863254. The cubic root of 42688360 is about 349.4913973362.

The spelling of 42688360 in words is "forty-two million, six hundred eighty-eight thousand, three hundred sixty".