42506600 has 48 divisors (see below), whose sum is σ = 99309120. Its totient is φ = 16920000.

The previous prime is 42506587. The next prime is 42506623. The reversal of 42506600 is 660524.

It is a super-2 number, since 2×42506600² = 3613622087120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56225 + ... + 56975.

It is an arithmetic number, because the mean of its divisors is an integer number (2068940).

Almost surely, 2^42506600 is an apocalyptic number.

42506600 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 42506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49654560).

42506600 is an abundant number, since it is smaller than the sum of its proper divisors (56802520).

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

42506600 is a wasteful number, since it uses less digits than its factorization.

42506600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 42506600 is about 6519.7085824445. The cubic root of 42506600 is about 348.9946660816.

The spelling of 42506600 in words is "forty-two million, five hundred six thousand, six hundred".