42487968 has 48 divisors (see below), whose sum is σ = 112281120. Its totient is φ = 14067456.

The previous prime is 42487943. The next prime is 42488003. The reversal of 42487968 is 86978424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 13663 + ... + 16481.

It is an arithmetic number, because the mean of its divisors is an integer number (2339190).

Almost surely, 2^42487968 is an apocalyptic number.

42487968 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 42487968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56140560).

42487968 is an abundant number, since it is smaller than the sum of its proper divisors (69793152).

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

42487968 is a wasteful number, since it uses less digits than its factorization.

42487968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2981 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 42487968 is about 6518.2795276054. The cubic root of 42487968 is about 348.9436667942.

The spelling of 42487968 in words is "forty-two million, four hundred eighty-seven thousand, nine hundred sixty-eight".