42627600 has 120 divisors (see below), whose sum is σ = 151761120. Its totient is φ = 11364480.

The previous prime is 42627569. The next prime is 42627601. The reversal of 42627600 is 672624.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42627600² = 3634224563520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42627601) 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, 8827 + ... + 12773.

It is an arithmetic number, because the mean of its divisors is an integer number (1264676).

Almost surely, 2^42627600 is an apocalyptic number.

42627600 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 42627600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75880560).

42627600 is an abundant number, since it is smaller than the sum of its proper divisors (109133520).

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

42627600 is a wasteful number, since it uses less digits than its factorization.

42627600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42627600 is about 6528.9815438551. The cubic root of 42627600 is about 349.3255037125.

The spelling of 42627600 in words is "forty-two million, six hundred twenty-seven thousand, six hundred".