42771600 has 135 divisors (see below), whose sum is σ = 149803563. Its totient is φ = 11301120.

The previous prime is 42771587. The next prime is 42771601. The reversal of 42771600 is 617724.

The square root of 42771600 is 6540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 42614784 = 396^2 + 6528^2 .

It is not an unprimeable number, because it can be changed into a prime (42771601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 392346 + ... + 392454.

Almost surely, 2^42771600 is an apocalyptic number.

42771600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42771600 is the 6540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42771600

42771600 is an abundant number, since it is smaller than the sum of its proper divisors (107031963).

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

42771600 is a wasteful number, since it uses less digits than its factorization.

42771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The cubic root of 42771600 is about 349.7184129701.

It can be divided in two parts, 427 and 71600, that added together give a palindrome (72027).

The spelling of 42771600 in words is "forty-two million, seven hundred seventy-one thousand, six hundred".