42706800 has 90 divisors (see below), whose sum is σ = 148216952. Its totient is φ = 11387520.

The previous prime is 42706799. The next prime is 42706913. The reversal of 42706800 is 860724.

42706800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2332 + ... + 9531.

Almost surely, 2^42706800 is an apocalyptic number.

42706800 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 42706800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74108476).

42706800 is an abundant number, since it is smaller than the sum of its proper divisors (105510152).

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

42706800 is a wasteful number, since it uses less digits than its factorization.

42706800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11887 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42706800 is about 6535.0439937310. The cubic root of 42706800 is about 349.5417131103.

The spelling of 42706800 in words is "forty-two million, seven hundred six thousand, eight hundred".