42611200 has 60 divisors (see below), whose sum is σ = 105604290. Its totient is φ = 17039360.

The previous prime is 42611189. The next prime is 42611207. The reversal of 42611200 is 211624.

It can be written as a sum of positive squares in 3 ways, for example, as 29419776 + 13191424 = 5424^2 + 3632^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42611207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11136 + ... + 14464.

Almost surely, 2^42611200 is an apocalyptic number.

42611200 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 42611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52802145).

42611200 is an abundant number, since it is smaller than the sum of its proper divisors (62993090).

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

42611200 is an equidigital number, since it uses as much as digits as its factorization.

42611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 42611200 is about 6527.7254844241. The cubic root of 42611200 is about 349.2806996176.

Adding to 42611200 its reverse (211624), we get a palindrome (42822824).

The spelling of 42611200 in words is "forty-two million, six hundred eleven thousand, two hundred".