42754608 has 160 divisors (see below), whose sum is σ = 138324480. Its totient is φ = 12545280.

The previous prime is 42754597. The next prime is 42754619. The reversal of 42754608 is 80645724.

42754608 is a `hidden beast` number, since 42 + 7 + 5 + 4 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (42754597) and next prime (42754619).

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 31 ways as a sum of consecutive naturals, for example, 129003 + ... + 129333.

It is an arithmetic number, because the mean of its divisors is an integer number (864528).

Almost surely, 2^42754608 is an apocalyptic number.

42754608 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 42754608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69162240).

42754608 is an abundant number, since it is smaller than the sum of its proper divisors (95569872).

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

42754608 is a wasteful number, since it uses less digits than its factorization.

42754608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

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

The square root of 42754608 is about 6538.7007883830. The cubic root of 42754608 is about 349.6720956133.

The spelling of 42754608 in words is "forty-two million, seven hundred fifty-four thousand, six hundred eight".