42916896 has 288 divisors, whose sum is σ = 150958080. Its totient is φ = 11404800.

The previous prime is 42916883. The next prime is 42916901. The reversal of 42916896 is 69861924.

42916896 = 60³ + 61³ + ... + 116³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1384401 + ... + 1384431.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^42916896 is an apocalyptic number.

42916896 is a gapful number since it is divisible by the number (46) 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 42916896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

42916896 is an abundant number, since it is smaller than the sum of its proper divisors (108041184).

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

42916896 is a wasteful number, since it uses less digits than its factorization.

42916896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 42916896 is about 6551.0988391262. The cubic root of 42916896 is about 350.1139656080.

The spelling of 42916896 in words is "forty-two million, nine hundred sixteen thousand, eight hundred ninety-six".