42688000 has 160 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 15769600.

The previous prime is 42687989. The next prime is 42688007. The reversal of 42688000 is 88624.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×42688000³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42688000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42688007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471986 + ... + 1472014.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^42688000 is an apocalyptic number.

42688000 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 42688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

42688000 is an abundant number, since it is smaller than the sum of its proper divisors (72215360).

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

42688000 is an equidigital number, since it uses as much as digits as its factorization.

42688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 42688000 is about 6533.6054365105. The cubic root of 42688000 is about 349.4904148884.

The spelling of 42688000 in words is "forty-two million, six hundred eighty-eight thousand".