42567600 has 120 divisors (see below), whose sum is σ = 143611840. Its totient is φ = 10748160.

The previous prime is 42567599. The next prime is 42567601. The reversal of 42567600 is 676524.

It is an interprime number because it is at equal distance from previous prime (42567599) and next prime (42567601).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42567601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21867 + ... + 23733.

Almost surely, 2^42567600 is an apocalyptic number.

42567600 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 42567600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71805920).

42567600 is an abundant number, since it is smaller than the sum of its proper divisors (101044240).

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

42567600 is a wasteful number, since it uses less digits than its factorization.

42567600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 42567600 is about 6524.3850284912. The cubic root of 42567600 is about 349.1615303580.

The spelling of 42567600 in words is "forty-two million, five hundred sixty-seven thousand, six hundred".