42936768 has 168 divisors, whose sum is σ = 147084288. Its totient is φ = 11708928.

The previous prime is 42936757. The next prime is 42936769. The reversal of 42936768 is 86763924.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42936769) by changing a digit.

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, 92505 + ... + 92967.

Almost surely, 2^42936768 is an apocalyptic number.

42936768 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 42936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73542144).

42936768 is an abundant number, since it is smaller than the sum of its proper divisors (104147520).

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

42936768 is a wasteful number, since it uses less digits than its factorization.

42936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 42936768 is about 6552.6153557187. The cubic root of 42936768 is about 350.1679955419.

The spelling of 42936768 in words is "forty-two million, nine hundred thirty-six thousand, seven hundred sixty-eight".