42916920 has 64 divisors (see below), whose sum is σ = 130062240. Its totient is φ = 11328000.

The previous prime is 42916903. The next prime is 42916921. The reversal of 42916920 is 2961924.

42916920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42916921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10350 + ... + 13890.

Almost surely, 2^42916920 is an apocalyptic number.

42916920 is a gapful number since it is divisible by the number (40) 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 42916920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65031120).

42916920 is an abundant number, since it is smaller than the sum of its proper divisors (87145320).

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

42916920 is a wasteful number, since it uses less digits than its factorization.

42916920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 42916920 is about 6551.1006708797. The cubic root of 42916920 is about 350.1140308716.

It can be divided in two parts, 4291 and 6920, that added together give a palindrome (11211).

The spelling of 42916920 in words is "forty-two million, nine hundred sixteen thousand, nine hundred twenty".