42761600 has 192 divisors, whose sum is σ = 127491840. Its totient is φ = 13854720.

The previous prime is 42761591. The next prime is 42761627. The reversal of 42761600 is 616724.

It is a self number, because there is not a number n which added to its sum of digits gives 42761600.

It is a congruent number.

It is an unprimeable number.

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, 515159 + ... + 515241.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^42761600 is an apocalyptic number.

42761600 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 42761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

42761600 is an abundant number, since it is smaller than the sum of its proper divisors (84730240).

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

42761600 is a wasteful number, since it uses less digits than its factorization.

42761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 42761600 is about 6539.2354293143. The cubic root of 42761600 is about 349.6911561243.

The spelling of 42761600 in words is "forty-two million, seven hundred sixty-one thousand, six hundred".