42096768 has 64 divisors (see below), whose sum is σ = 127801920. Its totient is φ = 12026880.

The previous prime is 42096749. The next prime is 42096773. The reversal of 42096768 is 86769024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5143 + ... + 10518.

It is an arithmetic number, because the mean of its divisors is an integer number (1996905).

Almost surely, 2^42096768 is an apocalyptic number.

42096768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42096768 is an abundant number, since it is smaller than the sum of its proper divisors (85705152).

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

42096768 is a wasteful number, since it uses less digits than its factorization.

42096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15685 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 42096768 is about 6488.2022163308. The cubic root of 42096768 is about 347.8694185726.

The spelling of 42096768 in words is "forty-two million, ninety-six thousand, seven hundred sixty-eight".