42705648 has 60 divisors (see below), whose sum is σ = 121228848. Its totient is φ = 14031360.

The previous prime is 42705623. The next prime is 42705667. The reversal of 42705648 is 84650724.

42705648 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8136 + ... + 12312.

Almost surely, 2^42705648 is an apocalyptic number.

42705648 is a gapful number since it is divisible by the number (48) 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 42705648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60614424).

42705648 is an abundant number, since it is smaller than the sum of its proper divisors (78523200).

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

42705648 is a wasteful number, since it uses less digits than its factorization.

42705648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42705648 is about 6534.9558529496. The cubic root of 42705648 is about 349.5385701629.

The spelling of 42705648 in words is "forty-two million, seven hundred five thousand, six hundred forty-eight".