42691680 has 144 divisors (see below), whose sum is σ = 152137440. Its totient is φ = 10881024.

The previous prime is 42691667. The next prime is 42691687. The reversal of 42691680 is 8619624.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42691687) 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, 32476 + ... + 33764.

It is an arithmetic number, because the mean of its divisors is an integer number (1056510).

Almost surely, 2^42691680 is an apocalyptic number.

42691680 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 42691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76068720).

42691680 is an abundant number, since it is smaller than the sum of its proper divisors (109445760).

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

42691680 is a wasteful number, since it uses less digits than its factorization.

42691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42691680 is about 6533.8870513654. The cubic root of 42691680 is about 349.5004574279.

The spelling of 42691680 in words is "forty-two million, six hundred ninety-one thousand, six hundred eighty".